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sequences

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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.
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.
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.
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.
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.
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.
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.
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 nth term 2006-12-14
Hepzibah pose la question :
what is the definition of nth term and n?
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.
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.
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 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.
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.
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.
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.

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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
 
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