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An arithmetic and a geometric sequence 2021-08-29
Moti pose la question :
Let {an} be an arithmetic sequence such that its 1st, 20th, and 58th terms are consecutive terms of some geometric sequence. Find the common ratio of the geometric sequence.
Harley Weston lui répond.
Fibonacci numbers 2021-08-25
John pose la question :
Make a single column of numbers. Start with two numbers of your choice. The third number is the sum of the previous two, the fourth number is the sum of numbers two and three, and so on until you have ten numbers in the column. Add up all ten numbers. Now, take the seventh number and multiply it by eleven. This product will equal the sum of the ten numbers. The same result will occur regardless of the first two numbers chosen. The question is why does the 7th number multiplied by 11 always equal the sum of the ten numbers?
Penny Nom lui répond.
An arithmetic sequence 2020-04-04
ally pose la question :
-10 ... last term 35 common difference is 3
(a) find the number of term in the sequence.
i have lost the formula.

Penny Nom lui répond.
What are the next three terms? 2019-06-18
Shriya pose la question :
-6, -2 , 2, 6,10 what are the next three terms?
Penny Nom lui répond.
An arithmetic sequence 2019-02-23
Dalal pose la question :
If x+1 and -x+17 are the second and sixth term of a sequence with a common difference of 5, what's the value of x.
Penny Nom lui répond.
An arithmetic sequence 2019-01-31
sara pose la question :
if the 6th term of an arithmetic sequence is 8 and the 11th term is -2, what is the first term?
Penny Nom lui répond.
The number of terms in an arithmetic sequence 2018-06-15
Don pose la question :
how many terms in arithmetic sequence are there if the first term and the last term are 3&59 respectively in common difference is 4?
Harley Weston lui répond.
Gauss' Addition of whole numbers. 2018-04-30
Brad pose la question :
I found this on your site. Question: what is the sum of the first 100 whole numbers?? Is there a different formula if the numbers begin at a number other than one? For example What is the series I want to add is goes from 7 - 53?
Harley Weston lui répond.
A puzzling sequence 2017-12-19
Alan pose la question :
My son has the following sequence to work out the formula for the nth term (and fing 5th and 6th terms) and I have tried a variety of ways but can't help!

1/2, 5/6, 1, 11/10

I have converted all to 15/30, 25/30, 30/30, 33/30 and so think the next two terms are 37/30 and 45/30 but I have no idea how to prove or if I am right!

Any help appreciated.

Penny Nom lui répond.
An arithmetic sequence 2017-11-30
yo pose la question :
x; 2x+1; 11 are three consecutive terms of an arithmetic sequence.calculate x
Penny Nom lui répond.
An alphabetic sequence 2017-09-17
malik pose la question :
find the letter of the following series....?

ZOTTFFSSE-

Penny Nom lui répond.
An arithmetic sequence 2017-07-17
abbi pose la question :
hi there im a student in 11 grade

ive been trying to do this task but i have no idea how to do it the question is
Find the common difference and the n^th term of the arithmetic sequence if the first term is 4 and the twentieth sum of the terms is 1030

Penny Nom lui répond.
Successive Differences 2017-04-06
Twaha pose la question :
Please find the equation of the sequence 1 2 4 7 11 16 22
Penny Nom lui répond.
A pattern rule for a sequence 2016-10-28
Grace pose la question :
Here's a Grade 7 question, we need to find the pattern rule:

1 - 1
2 - 3
3 - 6
4 - 10
......
It may involve exponents, but we can't seem to figure it out.
thank you.
Grace.

Penny Nom lui répond.
Two sequences 2016-08-20
Ting pose la question :
The first four terms of a sequence are 4, 20, 56 and 120. By comparing with the nth term of sequence 1,5,14 and 30 which is 1/6n(n+1)(2n+1), find a formula for nth term. Can you precisely show out how you do this questions ( with the steps please)
Penny Nom lui répond.
The sequence 13 17 23 27 33 37 2016-07-29
Shriya pose la question :
The first term of a sequence is 13.
The following terms are found by alternately adding 4 and 6 to the previous term. The first six terms are 13 17 23 27 33 37.
Find the 80th term.

Penny Nom lui répond.
Which term of this sequence has value 8? 2016-07-20
Lauren pose la question :
Hi there

Which term in the sequence -2; -5/3; -4/3 ; -1; ... has a value of 8.

Since term 2 and 3 of this sequence contain fractions which can be converted to recurring decimals. What is the best way to work out the common difference here.

I do however understand that to work out the nth term of an arithmetic series, the following formula Tn = a + (n-1)d. In this series a = -2

Penny Nom lui répond.
A geometric progression 2016-03-03
Pauline pose la question :
A woman measures the height of her child at birth and at monthly intervals afterwards.The child's height increases by 5% per month. Find the number of measurements she has made before the child's height is twice what it was at birth
Penny Nom lui répond.
Which term of the series 2+7+12+...is 152? 2016-02-01
francis pose la question :
whice term of the series 2+7+12+...is 152?
Penny Nom lui répond.
A sequence 2016-01-05
Mia pose la question :
the next three terms in each sequence. 0.4, 0.54, 0.68, 0.82,
Penny Nom lui répond.
The sequence 1,2,4,7,11,16... 2015-10-15
HEMANT pose la question :
what is the next term in the sequence : 1,2,4,7,11,16,?
Penny Nom lui répond.
The nth term 2015-07-04
ujjal pose la question :
What is the nth term in the order 6,8,10....
Penny Nom lui répond.
A geometric sequence 2015-04-19
Delfina pose la question :
In a geometric sequence the second term is 15 and the fifth term is -405. Find the sum of the first eight terms
Penny Nom lui répond.
Some non-decreasing sequences 2015-04-13
Sky pose la question :
Hi I'm a Student and i'll try my best to state the problem perfectly.

The number of non-decreasing sequences of size at least 1 and at most N, such that each element of the sequence lies between L and R, both inclusive.

Eg:- N=1 L=4 R=5
ans= 2. [{4},{5}]

N=3 L=4 R=6
ans= 19. [{4},{5},{6},{4,4},{4,5},{4,6},{5,5},{5,6},{6,6} {4,4,4},{4,4,5},{4,4,6},{4,5,5},{4,5,6},{4,6,6},{5,5,5},{5,5,6},{5,6,6} ,{6,6,6}]

Claude Tardif lui répond.
1,4,9,61,52,___ 2015-01-21
Mubashir pose la question :
1,4,9,61,,52,___,84,___,18,1,121,___ please tell me its formula and also that rule that is being applied here like adding 3 or subtracting 5 etc.
Walter Whiteley lui répond.
A sequence 2015-01-13
cyaz pose la question :
write a rule for each sequence then find next 3 terms for 7/8, 3 1/8, 5 3/8
Penny Nom lui répond.
Find the nth term 2014-10-26
Kenneth pose la question :
According to the pattern of the following sequence. Find it's nth term: 3,9,27,81,243,..........
Penny Nom lui répond.
The sum of the first 50 terms of an arithmetic progression 2014-07-26
Joshua pose la question :
Hello ...my is Joshua...I'm a grade 11 student...I got a question

Calculate the sum of the first 50 terms of an arithmetic progression: 112:98:84

Penny Nom lui répond.
9,-4,6,-8,3,... 2014-03-31
Alynna pose la question :
You are given the following pattern: 9,-4,6,-8,3,...
Create a formula for the nth figure.

I have trouble finding the formula, I need help trying to find it.

Penny Nom lui répond.
An arithmetic sequence 2014-03-20
Xabiso pose la question :
The 10th term of an arithmetic sequence is 28 and the 7th term is 19. Calculate the common difference and the first term of the sequence.
Penny Nom lui répond.
A sequence 2014-02-10
Joshua pose la question :
hello..the question I have today is... A sequence... 1,5,14,30,55,91 find the general terms.
Penny Nom lui répond.
A sequence 2014-01-30
joshua pose la question :
hi...really struggle with one question that the teacher gave us...
The sequence is 1,2,1,5,8,1,11,___,___

Penny Nom lui répond.
An arithmetic sequence 2014-01-06
paris pose la question :
find the twenty-fifth term of an arithmetic sequence whose first term is 12 and whose common difference is -6
Penny Nom lui répond.
Find the next 3 terms of the sequence 2013-12-19
Lanelyn pose la question :
Find the next 3 terms of the sequence 2,3,9,23,48,87,__,__,__
Robert Dawson lui répond.
The sum of all whole numbers from 1 to X 2013-09-06
Tim pose la question :
How do I develop a rule for the sum of all whole numbers from 1 to X when I have no idea how to do this
Penny Nom lui répond.
A sequence or a series? 2013-09-05
Rahul pose la question :
Whether the following sequence is increasing or decreasing? I even do not kow whether to call it a sequence or not. an = (1/(1+n))+(1/(2+n))+....+(1/(n+n)). I am confused. It looks like a series to me. Please help.
Regards,
Rahul

Robert Dawson lui répond.
A geometric sequence 2013-07-16
Relebohile pose la question :
Find the n^th term of 3,6,9,12,24,48...
Penny Nom lui répond.
Write a rule for the sequence 2013-02-20
Angelia pose la question :
Write a rule for the sequence. Then, find the unknown term. 1 3/8, 1 ľ, 2 1/8, _______, 2 7/8 Think: The pattern is increasing. Add 1/6 to find the next term. Rule: _______________
Penny Nom lui répond.
The nth term of a sequence 2012-10-19
Emily pose la question :
I don't understand how to do this question:
Nth term for 9, 7, 5, 3, 1
Is there a fast way to do nth term for this question? Or in fact any question?

Penny Nom lui répond.
An arithmetic progression 2012-08-22
A student pose la question :
the 3rd term of an A.PPP is 10 more than the first term while the 5th term is 15 more than the second.find the sum of the 8th and 15th terms if the 7th term is 7 times the first term.
Penny Nom lui répond.
A cylinder is to be filled with peas. 2012-06-12
Silje pose la question :
Hi! How can I solve the following question without the use of a calculator?

"A cylinder is to be filled with peas. It is done like this: At 12:00 o'clock you put 1 pea in, at 12:01 you put 2 peas in, at 12:02 you put 4 peas in, at 12:03 you put 8 peas in, and so on. This continues until 14:00 o'clock (two hours later), when the last peas are put in and the cylinder is full. At what time is the cylinder half full?"

Robert Dawson lui répond.
A geometric sequence 2012-06-10
vicki pose la question :
The sum of the first three terms of a geometric sequence of positive integers is equal to seven times the first term, and the sum of the first four terms is forty-five. What is the first term of the sequence?
Penny Nom lui répond.
The nth term 2012-05-05
Justin pose la question :
Which expression can be used tofind the nth term in this sequence? 94,75,56,37,18,.....
My choices are
A. -19n=113        B. -21n+115
C. -19+75        D. 21n+73


Please explain how to get the correct answer. I think it is A. but I am not sure,

Penny Nom lui répond.
A geometric sequence 2012-02-24
Camille pose la question :
Find x if the sequence 5,10,x+2 is geometric.
Penny Nom lui répond.
A tree growth modelled by a geometric series 2012-02-08
Steph pose la question :
Hi I am really struggling with this question please help !!!!
a pohutukawa tree is 86 centimetres when it is planted. in the first year after it is planted , the tree grows 42 centimetres in height.Each year the tree grows in height by 95% of the growth of the previous year. assume that the growth in height of the pohutukawa tree can be modelled by a geometric sequence.
A)find the height of the tree 5 years after it is planted and figure out the maximum height the pohutukawa tree is expected to reach in centimetres

Penny Nom lui répond.
Three consecutive terms of an arithmetic sequence 2011-10-30
Juliette pose la question :
Find X when x, 1/2x + 7, 3x -1 are consecutive terms of an arithmetic sequence.
Penny Nom lui répond.
A sequence 2011-08-14
intesar pose la question :
how do i figure this out 0,1/6,2/9,3/12
Penny Nom lui répond.
The third term of a sequence 2011-08-13
sammantha pose la question :
Find the 3rd term of the sequence, an=1.5(4)n - 1.
Penny Nom lui répond.
The nth term of a sequence 2011-07-01
Rachel pose la question :
I am trying to help my son get ready for our Aims test and I am not much help. The sequence is 2,5,10,17 The question is which equation represents the rule for finding the nth term for this sequence

a. an=n + 1
b. an=2n2
c. an=n2+1
d. an=2n+1

Penny Nom lui répond.
The nth term 2011-04-30
Samantha pose la question :
predict the general term, or the nth term, An for the sequence.
1/2,2/3,3/4,4/5,5/6

Penny Nom lui répond.
The sequence 2,3,5,5,8,7,11 2011-01-19
taylor pose la question :
number relationship in number sequence 2,3,5,5,8,7,11
Chris Fisher and Penny Nom lui répond.
What is next in the sequence? 2011-01-13
jodi pose la question :
what is next in the sequence 1, 1/4, 1/9, 1/16, 1/25
Penny Nom lui répond.
A geometric progression 2010-12-15
Abeth pose la question :
find the value of x so that 2(x-1), x+3, x will be a geometric progression.
Penny Nom lui répond.
rat sequence 2010-09-24
Vishal pose la question :
this is known as rat sequence. I want to know the logic pf this :-

1,2,4,8,16,77,145

Chris Fisher lui répond.
The nth term 2010-09-14
Anna pose la question :
The problem is 2n-2. find the nth term. I'm lost as how to even begin
Penny Nom lui répond.
A pattern in a puzzling sequence 2010-07-09
Martha pose la question :
A1 2 3 B 5 6 7 C 9 10 11 D 13 14 15

USE THIS PATTERN SUGGESTED TO HELP YOU FIND
THE MISSING TERMS IN THE PROBLEM BELOW:
a) H _ _ _ b) R _ _ _
c) _ _ 50 _ d) _ _ _ 63
e) _ @#$ where @ + # + $ = 258

Tyler Wood lui répond.
The nth term 2010-05-09
Jessica pose la question :
what is the nth term of 3, 9, 19, 33, 51
please help

Walter Whiteley lui répond.
A geometric progression 2010-04-30
Kalyani pose la question :
sum of infinite geometric progression is 9 and common ratio is 1/10 then sum up to 8 terms is?
Chris Fisher lui répond.
4 + 10 + · · · + (6n − 2) 2010-04-21
Lan pose la question :
Find the sum 4 + 10 + · · · + (6n − 2). The answer is 3(n^2) + n. How?
Penny Nom lui répond.
A sequence 2010-04-13
Essence pose la question :
hello, I am having trouble doing my math homework. It asks me to write the first five terms of each sequence .I can not figure it out because it is a fraction.

The Problem Is:

{2n+1/2n}

Penny Nom lui répond.
A geometric sequence 2010-04-13
glen pose la question :
A geometric sequence has a first term of 0.1024, a second term of 0.256, and a middle term of 156.25. how many terms are there in the whole sequence? i know that r=2.5 but i dont know how to find how many terms there are.
Penny Nom lui répond.
1/1+1/2+1/3... 2010-03-31
Mohd pose la question :
you explained the way of getting the summation of 100 series numbers but what is the summation of the numbers 1/1+1/2+1/3+1/4+1/5.............................+1/100
Robert Dawson lui répond.
A geometric sequence 2010-02-22
Kelsey pose la question :
_, 2, _, _, 250, _

i don't know how to fill in the missing terms

Penny Nom lui répond.
The first five terms of a sequence 2010-02-14
Joanne pose la question :
Find the first five terms of the sequences with the nth term given as follows. n^2+3n
Penny Nom lui répond.
A sequence 2010-02-07
Shalev pose la question :
hi,

i had a job interview yesterday. it had mathematical questions. couldn't solve 1. i m obsessed with it. please find out what the answer is..

it goes like this: 2,4,5,5,8,6,_,_,14,8

thank u very much

Claude Tardif lui répond.
A sequence 2010-01-27
Haku pose la question :
if there are 8 dots in the first shape, 13 in the second, 19 in the third, and 26 in the fourth, then what is the formula?
Penny Nom lui répond.
A sequence 2010-01-22
brahmaji pose la question :
0 7 26 63 _ 215 342 fill the blank? find the missing number
Robert Dawson lui répond.
7 36 14 18 28 9 56 x y 2009-12-06
lisa pose la question :
what is the sequence of x and y
7 36 14 18 28 9 56 x y

Penny Nom lui répond.
What number comes next? 2009-11-25
Mark pose la question :
Can someone help and give me the break down of how to solve. 5,3,1,-1
Penny Nom lui répond.
A sequence of letters and numbers 2009-11-10
Maria pose la question :
What is the last ten letters and numbers in the following series and how do I work it out so I can explain it to an eleven year old. J1F8M1A0M1J0J1
Robert Dawson, Claude Tardif and Harley Weston lui répond.
What's the next term? 2009-11-03
bharat pose la question :
if
1=5
2=25
3=325
4=4325
5=?

Robert Dawson and Penny Nom lui répond.
A sequence 2009-10-20
Alyce pose la question :
The rule of this sequence is k=1/8n. Find the 8th term of the sequence.

1/8, 1/4, 3/8, 1/2, ...
Thanks!

Penny Nom lui répond.
The next three terms 2009-10-16
Shawn pose la question :
I'm a parent and don't know how to help my 6th grader solve for this problem.

Name the next tree terms in this sequence and tell the rule used to find each:

-1,0,1,0,1,2,3,8,25,.....

Chris Fisher lui répond.
What is the next term? 2009-10-04
julia pose la question :
patterns 18 46 94 63 52 61 what is the next one?
Penny Nom lui répond.
How many terms are there in this sequence? 2009-09-28
tabby pose la question :
How many terms are there in this sequence?
5,1,-3,...,-111

Penny Nom lui répond.
A sequence 2009-09-19
Oliver pose la question :
I am struggling to work out the missing terms in the following sequence:

1, 3, _, 7, 11, 18, _

Chris Fisher lui répond.
A sequence 2009-09-15
Derek pose la question :
what are the next four numbers in this sequence 1/8, 1/4, 3/8, 1/2...
Penny Nom lui répond.
The nth term of a sequence 2009-09-11
Michael pose la question :
My son has this question as part of his key stage 3 maths homework-

The nth term of a different sequence is n - 2/n^2.

We've got to find the first three terms of the sequence.

Claude Tardif lui répond.
Arithmetic Sum & Sequence 2009-09-01
Alice pose la question :
Find the 24th term of this sequence 6.8,8.0,9.2... Find the sum of the first 21 terms
Janice Cotcher lui répond.
Sequence problem 2009-08-18
James pose la question :
I have the equation: tn = (n)(n+1)/2 Which gives the sequence: 1, 3, 6, 10, 15 etc. However, I'd like to be able to solve for n. So that a t of 6 would give me the answer of 3, and t of 10 would give me the answer 4 etc.
Stephen La Rocque and Victoria West lui répond.
Finding the Common Difference and Number of Terms of an Arithmetic Sequence 2009-07-24
Juan pose la question :
In an arithmetic sequence, the first term is -2, the fourth term is 16 and the nth term is 11,998 A. What is the common difference? B. What is the value of n.
Janice Cotcher lui répond.
A sequence 2009-07-11
jamie pose la question :
what is the next number in the sequence and what is the relationship of the numbers? 36,16,20,10,12, _
Penny Nom lui répond.
Successive differences 2009-06-18
Jonathan pose la question :
I'm trying to find the next number sequence for this equation: 1 11 35 79 149 251, my problem is that I worked it out and ended up with a single number 17. What am I doing wrong. Thank you for any help.
Robert Dawson and Penny Nom lui répond.
A sequence 2009-05-26
Jay pose la question :
what is the equation that would give me the next 3 numbers in this progession: 0,1,5,14,20
Stephen La Rocque lui répond.
A sequence 2009-05-18
Richard pose la question :
This is my question about sequences. Write down the nth term of the following sequences.

1/2, -3/4, 9/8, -27/16

Plz help me solve the question!

Penny Nom lui répond.
A number sequence 2009-05-08
alicia pose la question :
what is the next number 1,2,6,42,1806------? is it 1954?
Robert Dawson, Chris Fisher, Penny Nom and Claude Tardif lui répond.
A sequence 2009-03-13
Shelly pose la question :
Which sequence satisfies the rule n/4?
Stephen La Rocque lui répond.
A sequence 2009-03-11
Vly pose la question :
2; 6; 26;126;626 find the nth term
Harley Weston lui répond.
Where do X, Y and Z go? 2009-02-27
Aj pose la question :
A E F H I K L M N T V W
B C D G J O P Q R S U

where do X, Y and Z go?

Robert Dawson lui répond.
1 3 6 10 15.... 2009-02-26
Allie pose la question :
1 3 6 10 15.... i know the pattern is +2 +3 +4 +5 and so on...but i dont know how to write an equation to find the nth term. help!
Robert Dawson and Claude Tardif lui répond.
The sequence 5, 12, 19, 26, ... 2009-02-04
Vickie pose la question :
Hello, Here's the question. Ryan wanted to play basketball on a team, He started practicing shooting everyday to improve his skills. The first day he make 5 shots, the second day he made 12 shots, the third day he made 19 shots, and the fourth day he makde 26 shots. If the first day was March 1 and the pattern continues, how many shots will Ryan make on the last day of April and the last day of July? My daughter's answers were 425 for April and 1069 for July. Are these correct and what would be the formula for this question? ? +N=? I don't know please help. Thank you, Vickie
Robert Dawson and Penny Nom lui répond.
The sequence 2n! - 1 2009-02-01
Penny pose la question :
I am trying to help my son with this problem. Find the first five terms of the sequence that can be written from the formula A= 2n !-1.
Penny Nom lui répond.
Jon's bank account 2009-01-03
Abigail pose la question :
Hi, i have an exam soon (monday =[ ) in my revison book, it shows two peoples bank accounts- and then it says

"write a formula to show the balence of Jon's bank account after n weeks of 2003" this is the table show

Jon's Bank account

Weeks Week 1 Week 2 Week 3 Week 4 Week 5
Balance(£) 970 1035 1100 1165 1230

Penny Nom lui répond.
The middle term of an arithmetic sequence 2008-12-15
Leigh pose la question :
Find the sum of the first fifteen terms of an arithmetic series if the middle term is 92
Penny Nom lui répond.
The nth term of a sequence 2008-11-20
kim pose la question :
Find the next 2 terms of the sequence.
11n+2.5

Harley Weston lui répond.
The nth term of a sequence 2008-11-16
Robin pose la question :
How do I solve for the next term in the following sequence, I just don't want the answer...I want how to do it to. x,x -1, x -2

Also, how do I solve for the nth term? I can't understand the explanations I've found. He has numbers subscripted in his equations.

Victoria West lui répond.
1/8, 2/7, 1/2, 4/5, ..., ... 2008-11-06
katie pose la question :
Inductive reasoning, what 1/8, 2/7, 1/2, 4/5, what would be the next two in th sequence.
Penny Nom lui répond.
A sequence 2008-10-26
Nicole pose la question :
what is the rule to this sequence 3,6,12,24,48.....
Penny Nom lui répond.
The sequence 49,48,46,43,39... 2008-10-26
Kyle pose la question :
What number comes next in the series 49,48,46,43,39...?
Stephen La Rocque lui répond.
The sequence 6,1,6,2,6,4,6,8,6, 2008-10-26
Kyle pose la question :
What number comes next in the series 6,1,6,2,6,4,6,8,6,?
Stephen La Rocque lui répond.
nth term 2008-10-22
jen pose la question :
what is a nth term and how do i find the nth term of any sequence
Penny Nom lui répond.
The nth term 2008-09-29
shauna pose la question :
The first five numbers in a sequence are
40, 37 34, 31, 28
Find an expression for the nth number in the sequence.

Penny Nom lui répond.
3,6,10,15,and 21 2008-09-28
jarred pose la question :
i am currently stumped on a math project that requires me to find out the recursive formula for a sequence of numbers. the numbers in the sequence are 3,6,10,15,and 21. Thank you for your time.
Walter Whiteley lui répond.
Finding the Pattern in a Sequence 2008-09-16
sjp pose la question :
please could you help me find the nth term for 8 4 0 -4 -8 and -4 -1 4 11 20 Thank you
Janice Cotcher lui répond.
The nth term of a sequence 2008-09-13
lavett pose la question :
what is the Nth term in the sequence when the sequence is 2,4,8,16... and the term numbers are 1,2,3,4...
Stephen La Rocque lui répond.
0.151515...=15/99 2008-09-08
Emma pose la question :
This week, my Algebra teacher told us about the pattern between infinitely repeating decimals and their corresponding fractions. (ex. .2222222...= 2/9, .151515...=15/99, 456456456...=456/999, etc.) I was just wondering the reason why this pattern occurs. Is there a certain element that causes this pattern to occur?
Thanks
-Emma

Penny Nom lui répond.
Cost of pencil is rising every year since 7 years ago 2008-08-06
Mari pose la question :
Cost of pencil is rising every year since 7 years ago. If the cost of pencil last year was 60 cents which is the sum of the cost from the last two previous years, what is the cost of the pencil now, the cost seven years ago.
Penny Nom lui répond.
Does the sequence 1 2 4 8 16 32 etc have a name? 2008-07-17
Richard pose la question :
Just an idle thought really. Does the simple sequence 1 2 4 8 16 32 etc have a name?
Victoria West lui répond.
1, 2, 4, 8, 16, 32 ... 2008-07-15
eve pose la question :
I have to find out the fomula for:

1, 2, 4, 8, 16, 32 ...

Penny Nom lui répond.
Geometric sequences 2008-06-08
Rita pose la question :
A geometric sequence is given. Find the common ratio and write out the first four terms.

(1) {(-5)^n}

(2) {(2^n)/(3^(n - 1)}

Penny Nom lui répond.
A recursive formula for 9, -18, 36, -27, ... 2008-06-05
Rita pose la question :
I am having trouble understanding how to write formulas (I should say create formulas) from a given sequence. It does not matter what sort of sequence it is. The confusion remains. I have not found a textbook or easy math book that explains this process for the average Joe to grasp. Here are the two questions:

(1) Write a recursive formula for the sequence
9, -18, 36, -72, ...

(2) Write a recursive formula for the sequence
3, 3(sqrt{3}), 9, 9(sqrt{3})

Penny Nom lui répond.
3-3+3-3+3.........up to infinite terms = ? 2008-04-25
Jatin pose la question :
3-3+3-3+3.........up to infinite terms = ?
Stephen La Rocque lui répond.
5 9 1 6 10 12 2, where does 3 fit in and why? 2008-03-22
Cassidy pose la question :
number sequence

5 9 1 6 10 12 2, where does 3 fit in and why?

Claude Tardif lui répond.
4,12,24,40,60,84 2008-03-18
kirsty pose la question :
Here are the first six terms of a sequence.

4,12,24,40,60,84

Find in terms of n, an expression for the nth term of teh sequence.

Stephen La Rocque lui répond.
The nth term 2008-03-16
ryan pose la question :
need help figuring nth term for 1, 2, 5, 14, 41...... could you please help
Penny Nom lui répond.
1, 1, 2, 3, 5, 8, 13, ___ ___ ___ 2008-03-13
Karen pose la question :
What is the rule for the following pattern, and what would come next?

1, 1, 2, 3, 5, 8, 13, ___ ___ ___

Penny Nom lui répond.
Find the next terms 2008-02-20
Darrin pose la question :
I was given a number sequence and can't figure out the next terms to this

2,9,20,35,66,91......

Penny Nom lui répond.
O.T.T.F.F.S.S 2008-01-25
Omar pose la question :
What is the next letter in the following sequence:

O.T.T.F.F.S.S

Penny Nom lui répond.
1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128 2008-01-22
Neil pose la question :
Find the next two terms in the following number sequence

1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128

Find a general rule for the nth term of the sequence

Penny Nom lui répond.
Practical applications of sequences 2008-01-01
carl pose la question :
can you give me examples of different kinds of practical applications of sequences?
Penny Nom lui répond.
O,T,T,F,F,S,S,?,?,? 2007-11-28
Kim pose la question :
What are the next 3 letters in this sequence?

O,T,T,F,F,S,S,?,?,?

Stephen La Rocque lui répond.
Two sequences 2007-11-14
Kim pose la question :
Pattern........what comes next?

1,4,9,16,25,_____,____
1,4,9,16,27,40,__________,_______

Penny Nom and Gabe Potter lui répond.
The sequence 3,12,26,45.... 2007-11-12
Tra pose la question :
I can seem to find the realtionship in these sequence of numbers, I am looking for the next three. How can I determine that, I have tried everything??!!!

3,12,26,45....

Penny Nom lui répond.
The nth term 2007-10-18
shannon pose la question :
Ok , what i am having problems with is the nth term. I get how the numbers come together, but i am having trouble with finding the nth term.
Penny Nom lui répond.
0,1,2,3,6,11,20,37,68... 2007-10-16
Pat pose la question :
Describe the rule for this pattern: 0,1,2,3,6,11,20,37,68... Thanks
Penny Nom lui répond.
77,49,36,18,... 2007-10-11
Kim pose la question :
Find a pattern and predict what comes next in this sequence 77,49,36,18,________________.
Penny Nom lui répond.
A sequence of numbers 2007-09-30
eleanor pose la question :
can you find the nth term of the sequence ( n starts at three)

1=?
2=?
3= 4
4= 10
5=20
6 = 35
7= 56

i only hand the 3rd 4th 5th 6th and 7th numbers in the sequence

can you please tell me how to find the nth term and what is it :)

Stephen La Rocque and Victoria West lui répond.
The nth term 2007-09-29
zoe pose la question :
what is the nth term for the following sequence...
5, 2, -1, -4

Leeanne Boehm lui répond.
Describe the pattern 2007-09-29
Baffled pose la question :
Given a rule, extend a pattern and describe it in informal mathematical language:

a) 1, 6, 16, 36, _

b) 2, 6, 14, 30, _

c) 1, 8, 22, 50, _

d) 3, 9, 27, _

e) 2, 7, 17, 37, _

Stephen La Rocque and Penny Nom lui répond.
The nth term 2007-09-25
Bobby pose la question :
whats the nth term of 2,12,22,32 ?
Penny Nom lui répond.
The sequence 2,4,7,11,16,22 2007-09-22
Simon pose la question :
I thought i understood how to explain how to work out the nth term on a sequence of numbers until my son had this sequence to work out - 2,4,7,11,16,22
We have worked out the 2nd differance is +1 but nothing else seems to fit. Im sure the answer is staring us in the face but cant see the wood for the trees!

Denis Hanson and Steve La Rocque lui répond.
A fraction sequence 2007-09-21
marissa pose la question :
i have read the examples you have on fraction sequences, but i am still having a hard time understanding how to figure this out. for example:

__ 1 2/5 __ 3 __ __ __ __7

Stephen La Rocque lui répond.
Letter number sequence 2007-09-21
Hope pose la question :
The challenge problem of the week in 6th grade math is a letter number sequence. J 1 F 8 M 1 A 0 M 1 J 0 J 1 _ _ _ _ _ _ _ _ _ _ They are to find the next 10 letters and numbers in the line. They were given a hint : look at the letter sequence by themselves and you should recognize it. Does it just repeat starting with the F 8 M 1 etc.? Thank you for your help.
Claude Tardif lui répond.
The nth term 2007-09-13
Rookin pose la question :
Can you help me find the nth term for this ... 20,17,14,11,8 i'm really confused oh and could you also tell me how you got the answer?
Steve La Rocque, Claude Tardif and Harley Weston lui répond.
What are the next two terms? 2007-09-11
Sassy pose la question :
I can't figure out what the next two integers in this pattern are 3,9,6,12,9 are.
Stephen la Rocque lui répond.
A sequence of fractions 2007-09-10
mitch pose la question :
find an expression for T(n), the nth term of the sequence
1/5, 3/8, 5/13, 7/20, 9/29

Stephen La Rocque lui répond.
The nth term 2007-09-09
Conor pose la question :
Please can you help me with this question on the subject of the Nth term. 3.5, 5, 6.5, 8, 9.5

5.1, 7.2, 9.3, 11.4...

Penny Nom lui répond.
nth term in this series 2007-09-07
danii pose la question :
im trying to solve the nth term for this pattern.

1 3 6 10 15 21 28

any help would be appretiated

Stephen la Rocque lui répond.
The next term 2007-09-07
Ariel pose la question :
Please explain to me why -3^2 is a -9. One calculator give me an answer of positive 9.

WHAT IS THE NEXT TERM IN Each sequence/ What is its term number?

1/2, 2/3, 3/4, 5/6 6/7

1, 1/4, 1/9, 1/16

Stephen la Rocque lui répond.
A sequence 2007-09-06
aimee pose la question :
i have the sequence 1,5,14,30,55 and i have been told to use An squared times Bn times C and my working should look like this

1 5 14 30 55
      4 9 16 25
         5 7 9
            2 2

But how do i do this
Penny Nom lui répond.

A sequence of fractions 2007-09-05
Arjun pose la question :
1/2 3/5 5/8 7/11- need to find the nth term.

I did search the data base & found one for fractions but what I want to know is when calculating nth term for the denominator in the example give in your database how do we get (n-1)? When we deduct the actual term with the one that is in the table give in your example it is more that one. Could you please explain solving the above example?

Penny Nom lui répond.
The first five terms 2007-09-04
JP pose la question :
Find the first five terms of a sequence with the nth term n^2+2n+1 and 2^n.
Penny Nom lui répond.
2,6,7,21,22,66,67 2007-08-28
EDWIN pose la question :
this doesnt make any sense to me....... i cant find the pattern...

2,6,7,21,22,66,67

Leeanne Boehm and Stephen La Rocque lui répond.
The tens digit 2007-08-21
Arul pose la question :
Hi.. Please help me on this question.. Sequence 2, 7, 22,…after the first three terms, each term is three times the previous term plus 1, a(n+1)=3an + 1. What is the sum of tens digit 33rd and tens digit of the 35 term?
Penny Nom lui répond.
4,18,48,100, __ 2007-08-07
Jeremy pose la question :
What is the next number in the following sequence?
4,18,48,100, __

Leeanne Boehm and Stephen La Rocque lui répond.
A sequence of numbers 2007-07-27
Shamik pose la question :
Question: A sequence of numbers is defined in the following way.
B(1) = 1
B(n) = B(n-1) + {Sum of the digits of B(n-1)} for n > 1.

B(1) = 1
B(2) = 2
B(3) = 4
B(4) = 8
B(5) = 16
B(6) = 23
B(7) = 28
B(8) = 38
B(9) = 49
::::::::: and so on ...

Is the number 123456789 a term in the given sequence?

Shamik

Claude Tardif lui répond.
What is the 100th term? 2007-06-15
George pose la question :
I have the sequence 50,120,235,406,644

the 1st difference is 70,115,171,238
the 2nd difference is 45,56,67
the 3rd difference is 11,11


i used the a*n^3+b*n^2+c*n+d rule but the a turns out to be a decimal because 11/6 is 1.833333333 and so i cant find the formula for the 100th term term.

Penny Nom lui répond.
How many terms in this sequence? 2007-06-11
Jesse pose la question :
How do I find how many terms are in the sequence? 51, 48, 45, ...., -75
Stephen La Rocque and Penny Nom lui répond.
3, 6, 12, 21, 33, 48, 66 2007-05-02
Siew pose la question :
I need to find the nth term formula for the sequence :

3, 6, 12, 21, 33, 48, 66

Stephen La Rocque lui répond.
Where will volume 13 go? 2007-04-12
Shawn pose la question :
A novice librarian shelved a twelve-volume set of encyclopedias in the following order from left to right. Volumes 8, 11, 5, 4, 9, 1, 7, 6, 10, 3, 12, and 2. Using her system, where will volume 13 go?
Stephen La Rocque and Penny Nom lui répond.
What are the first 3 terms of this sequence 2007-04-10
kyrie pose la question :
what are the first 3 terms of this sequence n-2 divided by n squared
Stephen La Rocque lui répond.
4,7,16,43,... 2007-04-04
claire pose la question :
What is the explicit definition for the sequence 4,7,16,43,...?
Stephen La Rocque and Penny Nom lui répond.
Find the nth term 2007-02-27
Dinky pose la question :
My teacher has set us a project, but i am having trouble finding the nth term for this. the numbers are: 1, 2, 6, 24, 120 could you please help me? thank you dinky113
Stephen La Rocque and Penny Nom lui répond.
Arithmetic Series 2007-02-18
Krista pose la question :
Question- The sum of the first 4 terms of an arithmetic series is -8 and the sum of the first 5 terms is 500. Determine the sum of the 3 terms.
Stephen La Rocque lui répond.
What is the index of the term '119' in the sequence 2, 5, 8, 11? 2007-02-16
joey pose la question :
What is the index of the term '119' in the sequence 2, 5, 8, 11?
Penny Nom lui répond.
The nth term 2007-02-13
Sarah pose la question :
I am having difficulty in finding the nth term for 7,49,343,2401. Could you please help me in finding the correct answer?
Stephen La Rocque lui répond.
The sum of a sequence 2007-02-11
joey pose la question :
find the sum of the first 98 terms of the sequence 3, 5, 1, 3, 5, 1, 3,
Penny Nom lui répond.
Find the next 3 terms of the sequence 2007-02-07
rose pose la question :
find the next 3 terms of the sequence 2,3,9,23,48,87
Penny Nom lui répond.
5,8,11,14,17 2007-01-18
Mairead pose la question :
the sequence i was given was 5,8,11,14,17 what is the nth term and what is the 10th term ?
Paul Betts lui répond.
Find the total distance the swing traveled before it stopped. 2006-12-17
Leah pose la question :
Rebecca's little sister liked for her to push her in the swing at the park. The other day Rebecca pulled the swing back and let it go. She would have kept pushing, but she suddenly saw a friend at the other end of the park. The swing traveled a total distance of 10 feet before heading back the other way. Each swing afterwards was only 80% as long as the previous one. Find the total distance the swing traveled before it stopped.
Penny Nom lui répond.
1, 3, 6, 10... 2006-12-15
Lisa pose la question :
What is the nth term for the sequence, '1, 3, 6, 10...' and could you say how you got the anwser.
Stephen La Rocque and Penny Nom lui répond.
The nth term 2006-12-15
Lisa pose la question :
I have worked out that the nth term for 1, 4, 9, 16 is n squared and 3, 5, 7, 9 is 2n - 1, so what is the rule for the sequence 1x3, 4x5, 9x7, 16x9?
Penny Nom lui répond.
The nth term 2006-12-14
Hepzibah pose la question :
what is the definition of nth term and n?
Penny Nom lui répond.
A geometric sequence 2006-11-28
Jillian pose la question :
Find x so that 2x, x + 5, x - 7 are consecutive terms of a geometric sequence.
Stephen La Rocque lui répond.
The Fibonacci sequence 2006-11-21
Ross pose la question :
Let f0 = 0; f1 = 1,... be the Fibonacci sequence where for all n greater than or equal to 2 fn = fn-1 + fn-2. Let Q = (1+square root of 5)/2. Show that for all positive n greater than or equal to 0, fn less than or equal to Q^(n-1).
Penny Nom lui répond.
On day 1 on which day will 96 students donate food? 2006-11-19
Veydee pose la question :
during a canned food drive the number of students who donate food doubles each day. If three students donate food on day 1 on which day will 96 students donate food? we have to find the term rule for this pattern
Penny Nom lui répond.
Induction 2006-11-16
John pose la question :
Find a formula for
1/(1x3)+1/(2x4)+1/(3x5)...+1/(n(n+2))
by examining the values of this expression for small values of n. Use mathematical induction to prove your result.

Penny Nom lui répond.
1,4,9,16,25,36..... 2006-11-06
Teje pose la question :
i cannot find the next number for this sequence 1,4,9,16,25,36..... could u help please
Stephen La Rocque lui répond.
The sum of 2000 consecutive integers is 1000 2006-10-29
Matias pose la question :
if the sum of 2000 consecutive integers is 1000, then the sum digits of the greatest of these 2000 integers is?
Penny Nom lui répond.
How many sequences are possible? 2006-10-28
Sam pose la question :
A fair eight-faced die with faces numbered 1,2,3,4,5,6,7 and 8 is tossed six times and the sequence of numbers is recorded. How many sequences are possible?
Penny Nom lui répond.
A number pattern 2006-10-02
Tim pose la question :

The patterns that went in 2s, 4s and 5s we got, but we are stuck on the pattern that doubles. We can't come up with the rule or equation that solves it.

With the first number being the term number and the second being the term, this is the pattern:

1-1
2-2
3-4
4-8
5-16
6-32
7-64
100-128

What is the rule for this?


Stephen La Rocque and Penny Nom lui répond.
2 5 11 17 23 31 ? 2006-09-28
Bernice pose la question :
How do you determine the next number in the following sequence:
2 5 11 17 23 31 ?

Penny Nom lui répond.
Find the nth term 2006-09-13
Shakira pose la question :

my question is - Find an expression for the nth term of each sequence.

a. 6,15, 28, 45, 66

b, 1/5, 3/8, 5/13, 7/20, 6/29 - these are fractions


Penny Nom lui répond.
-5, 3, -2, 1, -1, 0, __, __ 2006-09-12
Sherrie pose la question :
next two terms in the sequence: -5, 3, -2, 1, -1, 0, __, __
Stephen La Rocque lui répond.
13 57 91 11 31 51 ?? 2006-06-15
Chastity pose la question :
im trying to determine the missing number in the sequence 13 57 91 11 31 51 ??
Claude Tardif, Steve La Rocque and Natasha Glydon lui répond.
What is the sum of the first 100 whole numbers? 2006-05-31
Jo pose la question :
what is the sum of the first 100 whole numbers?
Natasha Glydon, Paul Betts and Penny Nom lui répond.
The nth term of a sequence 2006-05-24
A student pose la question :
please could you give me a formula for the following numbers for my teacher 3 8 15 24 35
Chris Fisher lui répond.
Geometric sequence and basic functions (graphs) 2006-04-20
Marlene pose la question :
Which of the basic functions is related to the geometric sequence: Linear, Quadratic, Rational, or Exponential? Can you give me an example of how it would be used in normal life?
Stephen La Rocque lui répond.
Arithmetic and Geometric Sequences 2006-04-19
Skye pose la question :
If the 1st, 4th, and 8th terms of an arithmetic sequence are consecutive terms in a geometric sequence, find the common ratio of the geometric sequence.
Stephen La Rocque lui répond.
The product of successive terms in sequences 2006-04-13
Forrest pose la question :
1) Find three successive terms in an arithmetic sequence such that their sum is 24 and their product is 440 2) Find three successive terms in a geometric sequence such that their sum is 21 and their product is 216
Penny Nom lui répond.
Arithmetic Sums 2006-04-12
Angel pose la question :
(a) In a particular arithmetic sequence, u6 = 344.5 and u20 = 88.3. Find S28. (b) In a particular arithmetic series, S10 = 495 and S15 = 1005. Express S15 in sigma notation.
Stephen La Rocque lui répond.
Sum of a Geometric Sequence 2006-04-11
Andre pose la question :
In a particular geometric sequence, U3=-3.6 and U10=12.9. Find S16 and S17.
Stephen La Rocque lui répond.
8,_,4,9,1,_,10,3,_,0 2006-03-08
Rachel pose la question :
I cant figure out this sequence if someone could help me 8,_,4,9,1,_,10,3,_,0
Claude Tardif lui répond.
2,4,9,6,5,6,____,____,____,... 2006-03-06
Mike pose la question :
I am having problems figuring out the following sequence:

2,4,9,6,5,6,____,____,____,...

We were able to guess that the pattern simply started to reverse itself, but I was wondering if there were other possibilities.


Claude Tardif lui répond.
The nth term 2006-03-05
Umar pose la question :
my question is what is the nth term for a house of cards 4 stories high if you use the following numbers:
2 7 15 26

Penny Nom lui répond.
The nth term of a sequence 2006-02-21
Mike pose la question :
I'm having trouble finding the nth term in an equation, can you help me?
Stephen La Rocque lui répond.
Arithmetic progressions 2006-01-31
A student pose la question :
1)the sum to n terms of a particular series is given by Sn=17n-3n2

a)find an expression for the n term of the series
b)show that the series is an arithmetic progression

2)a particular arithmetic progression has a positive common difference and is such that for any three adjacent terms ,three times the sum of their squares exceeds the square of their sum is 375.Find the common difference


Penny Nom lui répond.
Finding the nth term in fractions 2006-01-23
Zarina pose la question :
Each term in this sequence is made by increasing the numerator by 1 and the denominator by 3. here are the first five terms:

1/4, 2/7, 3/10, 4/13, 5/16, ...

(a) write an expression for the nth term:

Penny Nom lui répond.
A sequence of circles and tangents 2006-01-16
Paul pose la question :
Consider a circle whose center is (2,2) and whose radius is 1, and the straight line that goes through the origin and that is tangent to this circle so that the intersection between them is as shown in the attached picture. With this new point we make a new circle whose radius is half of the first one, and we calculate the corresponding intersection point with the same suppositions as in the first case. We repeat the process to the infinite. Find the distance between the center of the circle in the infinite and the origin (point (0,0)).
Chris Fisher lui répond.
Find the nth term 2005-12-14
Kevin pose la question :
How do i find the nth term of 1 4 9 16 25 36
Penny Nom lui répond.
The stair problem 2005-12-06
Arnold pose la question :

My daughter had me help her with some of her college math problems that require finding the pattern. The problem was the stair problem where you can climb either 1 step or 2 steps at a time. How many combinations are there to get to the 10th step. I found the data set that solves the answer to the question, but is there an equation that expresses the answer in terms of n?

1 2 3 4 5 6 7 8 9 10 stair number
1 2 3 5 8 13 21 34 55 89 number of possible combinations


Harley Weston lui répond.
An Arithmetic sequence 2005-12-01
Aana pose la question :

The first term in an arihmetic series is 25 and the 3rd term is 19. Find the number of terms in the series if its is 82.

Here's what I did to find d
a+2d=19; 25+2d= 19 ;19-25=2d d=-6/2=-3

This is where I'm stuck. Can you please provide me with some guidance.


Penny Nom lui répond.
2, 6, 12, 20, 30, ... 2005-11-01
Rebecca pose la question :
I have a sequence of I have a sequence of 2, 6, 12, 20, 30, and have no idea how to figure out the nth term please help!
Claude Tardif lui répond.
Find the next 5 terms 2005-09-24
Grant pose la question :
n+7, 2n-0.5, 4n. Find the next 5 terms of each one and explain the sequence in words
Penny Nom lui répond.
Find the first five terms of this sequence? 2005-09-17
Jade pose la question :
my homework says can you find the first five terms of this sequence? 5n-6 i can`t figure it out.
Penny Nom lui répond.
Finding the nth term 2005-09-12
Paul pose la question :

Hi , Im having a problem helping my daughter to find the Nth Term in the following sequences.

1/3 1/2 3/5 2/3

and

1 3 6 10


Penny Nom lui répond.
1,4,9,1,6,2,5,3,6,4,9,6,4,8,1 2005-08-30
Liz pose la question :
Find the next four numbers to the sequence 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,___,___,___,___.
Penny Nom lui répond.
A geometric sequence 2005-06-21
A student pose la question :

The first three terms of a geometric series are 3(q+5), 3(q+3), (q+7) respectively.
Calulate the value of q.


Penny Nom lui répond.
An arithmetic progression 2004-12-24
A student pose la question :
the 4th and 5th term of an arithmetic progration 47 and 52 respactively find
a)d
b)a1
c)a50

Penny Nom lui répond.
A sequence 2004-12-11
Amanda pose la question :
Find the nth term of the following sequence

4, 10, 28, 82

Penny Nom lui répond.
Geometric sequence 2004-12-04
Lesa pose la question :
Find a formula for the geometric sequence: (√3 - √2), (4 - √6), (6√3 - 2√2), …
Penny Nom lui répond.
Proof by induction 2004-11-20
Vic pose la question :
Problem: Find the first 4 terms and the nth term of the infinite sequence defined recursively as follows:

a(1) = 3 and a(k+1) = 2a(k) for k -> 1.

Note: Quantities in brackets are subscripts
-> means 'equal to or greater than'.

Using the recursive formula, the first 4 terms are; a(1) = 3, a(2) = 6, a(3) = 12, a(4) = 24

The nth term a(n) = 2n-1 x 3 (equation 1)

Equation 1 must be proven using mathematical induction. This is where I am having a problem.

Penny Nom lui répond.
A sequence 2004-11-19
Liucy pose la question :
Find the Nth term: 10 40 90 160 250
Penny Nom lui répond.
1,3,6,11,18,29,__ 2004-09-21
Guillermo pose la question :
How do you get to the answer of this sequence 1,3,6,11,18,29,__
Claude Tardif lui répond.
A challenge 2004-09-17
Lasse pose la question :
xy
xx
xyx
xxx
xyxx


"x" and "y" each represents a number. Find out the system to make the next line

Penny Nom lui répond.
1+3+5+...+(2n+1) 2004-09-10
Emma pose la question :
Prove that 1+3+5+...+(2n+1)= (n+1)2
Penny Nom lui répond.
The nth term 2004-09-08
Alex pose la question :
What is the nth term?... Like what is it?, How do I find it?, and how exactly is used?...
Penny Nom lui répond.
The series from i=1 to n :ai 2004-08-18
Ken pose la question :
a.) Explain the difference between
the series from i=1 to n :ai
and the series j=1 to n :aj


b.) Explain the difference between
the series from i=1 to n:ai
and the series from i=1 to n :aj

Penny Nom lui répond.
The sum of 4,0,-4..., -156 2004-04-28
Christina pose la question :
find the requested sum of the arithmetic sequence

4,0,-4..., -156

Penny Nom lui répond.
A geometric sequence 2004-04-13
Michael pose la question :
In a geometric series, the sum of the 2nd and 3rd terms is 60, and the sum of the 3rd and 4th terms is 240. Find the sum of the first 7 terms.
Penny Nom lui répond.
What is the nth term 2004-04-07
Jason pose la question :
1 4 10 20 35 56 84
what is the nth term

Claude Tardif lui répond.
The degree sequence of a graph 2004-03-31
Ali pose la question :
How can i find out {6,6,5,5,5,3,2}is not the sequence of the points of a simple graph,without drawing it?
Penny Nom lui répond.
What's the next term? 2004-03-22
Garrett pose la question :

A friend hit me with these questions and won't tell me the answer nor how... please help? I've racked my brain and did all sorts of formulas, but I can't get it to work out... please...

What's the next number in this series... 5, 12, 17, 29, 46, ?

And this series... 12, 19, 28, 39, 52, 67, ?

and these... ocoa, boco, oboc, dobo, odob, ?


Claude Tardif lui répond.
Geometric sequences 2004-02-03
Alan pose la question :
hello, I am a junior in precalculus. we started working on geometric sequences today, it makes perfect sense on how it works. but why is it called that? if you could send me an answer to why geometric sequences have that name, I would be much appreciative.
Chris Fisher lui répond.
The 4th difference 2003-11-17
Jack pose la question :
If i had a sequence which was the same at the 4th difference, aka difference to the 4th, like:

1 5 14 30 56 96 (sequence)
4 9 16 26 40
5 7 10 14
2 3 4
1 1

then what would be the set formulars to find out a, b, c, d, and e
as i know the equation has to be an4+bn3+cn2+dn+e

Penny Nom lui répond.
A project about crosses 2003-06-10
Joel pose la question :

I have this project to do about crosses and I can't think of what the answer is for the following questions: What is the area rule of the crosses (the table below will help you)?
Cross NumberArea sq cm
15
213
325
441
561

I also need to know what the formula is for it?


Penny Nom lui répond.
$1/week for week 1 and then double each week 2003-05-28
A student pose la question :
I AM DOING A PROJECT FOR MATH I AM TRYING TO CREATE A SEQUENCE BASED ON: MAKING A SALARY OF $1/WK FOR THE FIRST WEEK WITH IT DOUBLING EVERY WEEK FOR 52 WEEKS, SO MY SEQUENCE LOOKS LIKE THIS: 1,2,4,8,16,32,64,128,256,512,1024 ETC. THERE WOULD BE 52#'s TOTAL IN MY SEQUENCE.I BELIEVE IT IS CALLED A FINITE SEQUENCE. MY QUESTION IS HOW DO I CREATE A FORMULA/RULE FOR THIS PARTICULAR SEQUENCE? MY GOAL BEING TO FIND THE 52nd TERM IN THE SEQUENCE.
Penny Nom lui répond.
Two sequences that agree in the first 4 terms 2003-05-26
A student pose la question :
Is it possible to have two formulas that define sequences that agree on the first four terms but not the rest?
Penny Nom lui répond.
One one 2003-04-22
Brad pose la question :
find the next two rows of numbers?
     1                        
    1 1                        
    2 1                      
  1 1 1 2                     
  3 1 1 2                    
1 1 1 2 1 3 

Leeanne Boehm lui répond.
Chopping trees 2003-04-19
Tamara pose la question :

The master needs some of the trees (twenty, to be exact) at the back of his spooky old mansion cleared to make way for a new evil laboratory, so he decides to send some his slaves to do the work for him.

He initially sends out four of his men, armed with axes, to chop the trees down. Due to the fact he is very impatient, every ten minutes he sends out another man to help with the work.

Assuming that it takes one man 30 minutes to chop down 1/3 of a tree, how long till all twenty trees are chopped down?


Penny Nom lui répond.
A sequence that converges to e 2003-03-16
Dane pose la question :
Something I noticed fooling around with a calculator about 30 years ago.
Considering e = 2.718281828459045....
Using Window's Calculator you will find


1.111 = 2.8531167...
1.01101 = 2.731861...
1.0011001 = 2.71964085...
1.000110001 = 2.71841774...
1.00001100001 = 2.7182954...
1.00000110000011 = 2.178231875...
1.000000110000001 = 2.178219643...


There apears to be a pattern. My conjecture is:


1.'infinite number of zeros'11'infinite number of zeros'1 = e.


Penny Nom lui répond.
Finite differences 2003-02-10
Jenny pose la question :

I need to find a formula that will work with any number.
I am finding the volume of a 3d cross- shape. Here are my results so far:

Term Number      0   1    2    3     4      5
nth term         1    7   25   63   129    231
1rst diff           6   18   38   66     102
2nd diff              12    20   28   36
3rd diff                  8     8    8

I can't seem to find a formula that will work with any number. Any help would be much appreciated.

Penny Nom lui répond.

The sum of the first 1000 even integers 2003-02-06
Jill pose la question :
What is the sum of the first 1000 even integers?
Paul Betts lui répond.
Arithmitic sequence 2003-02-01
A student pose la question :
I am having problems solving this arithmetic sequence... 1, 5, 10, ___, 50, 1.00, ___, 10.00, ... I believe the answers to be 25 and 5.00 but I can't figure why.
Claude Tardif lui répond.
1+2+3+...+500 2003-01-31
Brian pose la question :
What is the sum of the numbers from 1 to 500 inclusive?
Paul Betts lui répond.
A geometric sequence 2002-12-02
Wanda pose la question :
the fifth term of a geometric sequence is 5/16. the common ratio is 1/2. What are the first four terms of the sequence.
Penny Nom lui répond.
What is nth term? 2002-11-06
Joga pose la question :
What is nth term:

First sequence:
2, 4,7,11, 16, nth term

Second sequence:
4,10, 28, 82, nth term


Penny Nom lui répond.
Sums of evens 2002-09-14
Rosa pose la question :
How do I find a geometric way to easily compute sums of consecutive even numbers 2 + 4 + 6 + ....
Leeanne Boehm and Harley Weston lui répond.
8,27,64 . . . 2002-09-05
Mike pose la question :
We have been trying with no luck all night to complete the following math pattern (next 3 entries) 8,27,64 . . . Any ideas??
Penny Nom lui répond.
1, 2, 4, 8, 16, 32, etc. 2002-09-04
Ginger pose la question :
I've been working with finding the nth term for a few weeks, and i can't seem to figure this one out!

1, 2, 4, 8, 16, 32, etc.


Leeanne Boehm lui répond.
What is the next term? 2002-06-21
A student pose la question :
What is the next term in the sequence:

1, 5, 14, 30.....


Penny Nom lui répond.
Sequences that agree on their first four terms 2002-05-16
Mike pose la question :
Are there two formulas that define sequences that agree on their first four terms, but differ on the fifth term and all succeeding terms?
Chris Fisher lui répond.
What's the next term? 2002-04-29
A student pose la question :
Find the nth term for the following:

1) 12, 30, 56, 90, 132
2) 6, 30, 84, 180, 330
3) 8, 15, 24, 35, 48
4) 10, 17, 26, 37, 50
5) 24, 40, 60, 84, 112
6) 24, 60, 120, 336, 504

Please show the FULL working out.


Penny Nom lui répond.
A sequence 2002-03-07
Caroline pose la question :
hi, here is the problem,

1
11
21
1211
111221
_ _ 2_ _ _

we can't get the sequence of the last line ,with the 3rd number being 2,thanks


Walter Whiteley lui répond.
1,4,27,____,_____46656 2002-02-21
Brenda pose la question :
1,4,27,____,_____46656..... please find the fourth and fifth numbers in this sequence.
Penny Nom lui répond.
Successive differences 2002-01-20
Linsey pose la question :
what is the rule for working out the formula for a sequence with three lines of difference? eg.
                      
                     1, 3, 7, 15, 29 
1st line differences:  2, 4, 8, 14 
2nd line differences:    2, 4, 6 
3rd line differences:     2, 2 

Penny Nom lui répond.
My salary is doubled everyday for 30 days 2002-01-17
Kanishk pose la question :
I recieve 1 penny the 1st day, 2 pennies the 2nd day, and my salary is doubled everyday for 30 days. How much money will I have by the end of the 30 day time period? (Is there a way of solving this problem without a chart?)
Penny Nom lui répond.
A sequence 2002-01-16
Chris pose la question :
I have spent two days trying to determine the pattern to the following set of numbers: 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,____. I need the next four numbers to the sequence.
Claude Tardif lui répond.
A sequence of number pairs 2002-01-10
Terry pose la question :
Three is the first number of a pair, and 8 is the second.

a. If 50 is the first number, what is the second number?
b. If 200 is the first number, what is the second number?
c. If 89 is the second number, what is the first number?
d. If a number n is the first number, what is the second number?

3-8
4-11
5-14
6-17
____
____
____
10-29
____
____
____

Peny Nom lui répond.
3, 6, 10, 15, 21 2001-11-29
Patrick pose la question :
we are trying to find the expression to solve for the nth term in the pattern

3, 6, 10, 15, 21


Denis Hanson lui répond.
Number sequences 2001-11-17
Stephanie pose la question :
My name is Stephanie. My grade 7 math class is studying number sequences and, to me, they make almost no sense at all. Here I wrote down 2 of the many problems I have for homework and was wondering if you could explain them to me (I have to find the next 3 numbers in each sequence.) It would be a big help!

10, 14, 18, 22, _, _, _.

12, 21, 39, 75, _, _, _.


Penny Nom lui répond.
2=the square root of (2 + the square root of (2 + the square root of (2 +...))) 2001-11-05
Cynthia pose la question :
justify algebreically, that:

2=the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + and so on, .......


Penny Nom lui répond.
1+2+3+...+1000 2001-10-01
Louise pose la question :
Find a quick way to add all Intergers (whole Numbers) between 1 and 1000?
Walter Whiteley lui répond.
Find the pattern 2001-09-26
A parent pose la question :
MY SON HAD ON A WORKSHEET WHAT I HAVE LISTED BELOW, BUT WE CAN'T SEEM TO FIND THE PATTERN. MOST THE TIME WE CAN, BUT THIS ONE IS DIFFERENT.

6,___, 9,____,____,_____,_____,_____


Caude Tardif lui répond.
Four sequences 2001-09-24
Nicole pose la question :
I have a few questions I couldn't figure it out. So any help will be great to find the next three numbers or letters. Here's the patters...
  1. DEGHNORY, EHILMU, HIILMTU, BEILLMRUY,...

  2. 50, 33, 25, 20, 16, 14, 12,...

  3. 1777, 1795, 1818, 1819, 1820, 1822, 1836, 1837..

  4. A,H,I,M,O,T,...

Chris Fisher and Penny Nom lui répond.
Arithmetic sequences 2001-09-10
Rachel pose la question :
I can't seem to figure out a problem that deals with arithmetic sequencing. This is the question: The 5th term in an arithmetic sequence is 1/2, and the 20th term is 7/8. Find the first three terms of the sequence. I attempted this problem with the formula: An = a + (n-1)d (where the n represents the nth term, a is the first term, and d represents the common difference) I keep getting -9.5 for the first number, and then 3/120 as the common difference between the numbers. But as I have figured it, the sequence is getting greater and greater, and my data does not go with the terms given.
Penny Nom lui répond.
A sequence 2001-08-25
Sharon pose la question :
1
11
21
1211
111221
312211
1311221
1113213211
31131211131221
13211311123113112211

What would be the next sequence of numbers? my name is sharon i work in customer service and a friend asked me to solve this.


Walter Whiteley lui répond.
A sequence defined recursively 2001-05-01
A student pose la question :
A sequence s is defined recursively as follows:

s0=1
s1=2
sk=2sk-2 for all integers

- Compute s2,s3,s4... to guess an explicit formula for the sequence sk.
Penny Nom lui répond.

A sequence of even terms 2001-04-29
A student pose la question :
A sequence c is defined recursively as follows:

c0 = 2
c1 = 4
c2 = 6

ck= 5ck-3 for all integers

Prove that cn is even for all integers.


Leeanne Boehm and Penny Nom lui répond.
Geometric and arithmetic sequences 2001-01-26
Garry pose la question :
what are the equations for geometric and arithmetic sequences?

also, what are the equations for finding the sums of those series?


Leeanne Boehm and Penny Nom lui répond.
0,2,3,6,7,1,9,4,5,8 2001-01-23
Tami pose la question :
What is the sequence of the numbers 0,2,3,6,7,1,9,4,5,8
Claude Tardif lui répond.
Some terms in a sequence 2001-01-15
jamie pose la question :
Please help as soon as possible! i am stuck with some terms in a sequence. the terms are 1st term=1, 2nd term=10, 3rd term=35, 4th term=84, 5th term=165, 6th term=286. can anyone tell me the formula for the nth term? n is term number
Sukanta Pati lui répond.
Find the rule 2000-10-27
Kelsa and Linda pose la question :
Find the rule: It had 13 in a circle then 2 blank circles then 31 in a circle then two more blank circles. Could you please help us.
Penny Nom lui répond.
A sequence question 2000-10-23
Chell pose la question :
I have the following sequence:

4 16 37 58 89 145 42 20

I have no clue how to arrive at an answer. I've checked to see if it can be defined as an arithmetic or geometric series, and it can't. I've looked for primes and noticed that 37 and 89 are the only primes ... but from there I've lost. Nothing I've tried seems to work, so please help! Thanks a million!!!!


Chris Fisher lui répond.
7 - - - - 77 2000-09-13
Peter pose la question :
Does anyone know how to solve the following:
7 _ _ _ _ 77 ?

I have to find the missing values.


Chris Fisher and Walter Whiteley lui répond.
The sum of the squares of 13 consecutive positive integers 2000-08-25
Wallace pose la question :
Prove that it is not possible to have the sum of the squares of 13 consecutive positive integers be a square.
Harley Weston lui répond.
Covering 1, 1/2, 1/3,... 2000-08-22
Wallace pose la question :
Consider the points 1, 1/2, 1/3, ... on the real number line. You are given five small bars, all of length p, which are to be placed on the number line such that all points will be covered. What is the minimum value of p that will allow you to do this?
Penny Nom lui répond.
Patterning and Sequencing 2000-07-05
Michael Jellis pose la question :
What would be the next two terms?

1.0,0.5,0.6,0.75,0.8,___,____

please explain!!! I am completely baffled and need all the help I can get!


Claude Tardif lui répond.
A sequence 2000-06-16
Claire Hall pose la question :
Can you find the formula for the pattern 4,12,24,40,60
AClaude Tardif lui répond.
The number of seats in an auditorium 2000-05-16
David Evaska pose la question :
There are 10 students in the first row of seats in an auditorium 12 in the second 14 in the third and 2 additional in each seat. The total number of rows is 40. I know the answer is 1960 can you please show me the formula step by step.
Penny Nom lui répond.
Looking for a pattern 2000-05-08
Laura pose la question :
Yesterday, me teacher stumped me with a question. He talked to us about square units. He told us an area of 1 square unit produces 1 shape, an area of 2 sq.units produces 1 shape, an area of 3 sq.units produces 2 different shapes, an area of four square units produces 5 different shapes, and an area od five sq.units produces 12 different shapes. He left us there. He said we had to find how many different shapes an area of 1 sq. unit produces through how many different shapes an area of 15 sq.units produces. He said we could complete this "chart" by finding an equation. But, I can't find the equation. I think it may be a quadratic of some sort. My teacher told us to use the area(in sq.units) as X and the # of different shapes produced as Y. Now, what really is stumping me is I would have to have an equation so when X is Y, Y is 1 and when X is 2, Y is 1. I have also tried to see if I can complete a patter or something. The pattern I saw was 1,1,2,5,12. I can't make much sense of that pattern.
Penny Nom lui répond.
Geometric sequences 2000-04-11
Jodie pose la question :
I am in a grade ten principles class and was taught how to do geometric sequences and series but no one in my class understood what we were taught. Our teacher is one of few to use the new curriculum which used to be the grade twelve curriculum. Could you please explain to me how to do geometric sequences and how to find the different terms and sums. Thank you very much!
Harley Weston lui répond.
Completing a sequence 2000-03-17
David Grimmer pose la question :
Complete the following sequence so that, after the first two terms, each successive term is the average of all the preceding terms.

20__ __ 28 __ __


Penny Nom lui répond.
What's the next term? 2000-02-29
Meredith O'Neill pose la question :
At this point, the whole family wants to know the answer. if possible an explanation. thanks
a sequence ?

16,37,58,89,145 ??


Chris Fisher lui répond.
Number sequences 1999-11-11
Justin Schessler pose la question :
I CAN NOT figure out this sequence or how we continue this sequence...

3,2,6,5,15,14,___,___,___
Chris Fisher and Harley Weston lui répond.

Where three sequences meet. 1999-03-06
Ali pose la question :
My name is Ali and I am in the 5th grade.

I have a math question:

What is the least positive integer meeting each of the following conditions:

  • Dividing by 7 gives a remainder of 4
  • Dividing by 8 gives a remainder of 5
  • Dividing by 9 gives a remainder of 6
Help!

Denis Hanson lui répond.
Finding a rule for a sequence 1999-02-17
Lindsey Masters pose la question :
I'm doing a maths investigation and i have a sequence which goes:-

13,16,25,32,45,56,73.

Our teacher told us we have to find a rule by looking at the differences of the terms until we find a constant. The first differences are:-

3,9,7,13,11,17.

The differences of these are:- ......

Please could you tell me how to work it out so that I could work out the rules of similar sequences.
Penny Nom lui répond.

What's the next term? 1998-11-12
Ilia pose la question :
What the formula and explonation for formula for next patterns:

1) 1, 4, 10, 20, 35, 56, 84,...

2) 0, 6, 30, 90, 210, 420,...

Thanks!
Penny Nom lui répond.

Sequences and series 1998-05-27
Michael Le Francois pose la question :
The sum of the first ten terms of an arithmetic series is 100 and the first term is 1. Find the 10th term.

The common ratio in a certain geometric sequence is r=0.2 and the sum of the first four terms is 1248 find the first term.
Penny Nom lui répond.

Pay Phone Problem 1998-02-26
Shameq pose la question :
Hi, I've been given a problem that I'm having some trouble with. I'd really appreciate any help. Here's the question (it's called the Pay Phone Problem)

A pay phone will take only 10p, 20p, 50p, and Ł1 coins"(It's British).

A woman has plenty of 10p and 20p coins. She has no other coins. She can put the coins into the pay phone in any order.

INVESTIGATE the number of different ways, she could put the 10p and 20p coins into the pay phone.
Penny Nom lui répond.

 
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