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A mathematical expression with the answer 7 2012-11-10
emily pose la question :
hey um i need to find and problem that fallows bedmas that has one division one multiplication and one sub and one add and one brackets and one exponents that has the answer of number 7
Penny Nom lui répond.
Sales as a function of advertising 2010-12-08
Adori pose la question :
The sales S(in thousands if units) of a product after x hundred dollars is spent on advertising is given by S=10(1-e^kx). Find S as a function of x if 2500 units are sold when $500 is spent on advertising.
Penny Nom lui répond.
I need to learn to think mathematically 2010-07-20
Student pose la question :
I need to learn to think mathematically, and like math while doing it, got any ideas, help.
Walter Whiteley lui répond.
Fibonacci and induction 2010-07-12
James pose la question :
I'm trying to prove by induction that F(n) <= 2^(n-1) where f(1)=f(2)=1 and f(k)=f(k-1)+f(k-2) for k >=3 is the Fibonacci sequence
Stephen La Rocque and Tyler Wood lui répond.
A proof by induction 2010-03-25
SAMUEL pose la question :
use mathematical induction to proof that each statement is true for every positve integer n 1/1.2+1/2.3+1/3.4+......1/n(n+1)=n/n+1
Robert Dawson lui répond.
The nth derivative of x^(n-1) log x 2010-03-10
shambodeb pose la question :
This is a successive differentiation problem by Leibnitz theorem

If y = xn-1 log x ; Proof nth derivative y(n) = (n-1)!/x

Harley Weston lui répond.
A proof by induction 2010-01-12
Bhavya pose la question :
Prove by induction that if Xi >= 0 for all i, then

(Summation Xi from 1 to n)^2 >= Summation Xi^2 from 1 to n

Penny Nom lui répond.
Show your work 2009-09-02
Gerald pose la question :
We have a 6th grade student who can solve math problem successfully without showing her work. The teacher thinks it is not fair that she doesn't show her work and the other have to and do. What sort of classroom accommodation(s) would you recommend for this type of student. It would seem to be a popular problem since there are many student who think more global than sequential.
Victoria West, Penny Nom and Robert Dawson lui répond.
Math in everyday life 2009-08-03
Naveen pose la question :
Dear sir, We are advised to do a project on "Mathematical modeling to solve various problems of our everyday life/environmental related problems...... Can u plz help us by mailng some ideas, suggestion,reference to make my project successful.... Thanking you...... Waiting for your favourable reply......
Penny Nom lui répond.
Mathematical induction 2008-09-05
James pose la question :
I need to prove a problem by induction regarding the Triangle Inequality. The problem is

abs(a1 + a2 +...+an) <= abs(a1) + abs(a2) +...+ abs(an).

Victoria West lui répond.
Mathematical induction 2008-07-11
lyn pose la question :
can you give me a basic example of a mathematical induction
Harley Weston lui répond.
The sum of the digits of a number 2008-06-23
Ben pose la question :
Question: Using mathematical induction, prove that if the sum of the digits of a number is divisible by three, then the number itself is also divisible by 3.
Penny Nom lui répond.
1/(1x2)+1/(2x3)+1/(3x4)...+1/(n(n+1)) 2008-02-20
hossun pose la question :
Find a formula for 1/(1x2)+1/(2x3)+1/(3x4)...+1/(n(n+1)) by examining the values of this expression for small values of n. Use mathematical induction to prove your result.
Stephen La Rocque lui répond.
The Principle of Mathematical Induction 2007-12-15
iris pose la question :
we have some confusion in our problem. Please help us. We would like to know "the principle of mathematical induction"
(i) for n=1, p(1) is true.
(ii) assume that for n=k>=1, p(k) is true we have to prove p(k+1) is true. Here (Is n=k>=1 true? or Is n=k.1 true?)
Thanks.

Penny Nom and Victoria West lui répond.
The proof of inequality by mathematical induction 2006-12-07
Carol pose la question :
S(n) = 2^n > 10n+7 and n>=10
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.
Composition of functions 2006-11-19
RJ pose la question :
Let f0(x) = 2/2-x and fn+1 = f0 o fn for n greater than or equal to 0. Find a formula for fn and prove it by mathematical induction. Recall that o represents function composition. i.e., (f o g)(x) = f(g(x)).
Stephen La Rocque 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.
A proof by induction 2006-11-06
Zamira pose la question :
i have a problem with this mathematical induction: (1^5)+(2^5)+(3^5)+...+(n^5) = ((n^2)*((n+1)^2)*((2n^2)+2n-1))/12
Penny Nom lui répond.
Modelling monthly temperature with a cosine 2004-12-25
Regis pose la question :
The average monthly temperature for a location in Ontario as a function of month number can be modelled using the equation y = a cos[k(t + b)] + d.
Harley Weston 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.
Proof by induction 2002-02-20
Tamaswati pose la question :
How do I prove the assertion that "the determinant of an upper triangular matrix is the product of the diagonal entries" by mathematical induction? (Before I check this assertion for a few values of n how do I rephrase the assertion slightly so that n appears explicitly in the assertion?)
Penny Nom lui répond.
Logico mathematical knowledge 2002-01-23
A teacher pose la question :
How does young children's logico mathematical knowledge develop?
Walter Whitely lui répond.
Proof by induction 2001-10-16
John pose la question :
Can you help me with any of these?
  1. For any natural number n > 1, prove that

    (4n) / (n + 1) < [(2n)!] / [(n!)2].

  2. For any natural number n > 1, prove that

    1/sqrt(1) + 1/sqrt(2) + 1/sqrt(3) + ... + 1/sqrt(n) > sqrt(n).

  3. For any natural number n and any x > 0, prove that

    xn + xn - 2 + xn - 4 + ... + x-n >= n + 1.

Penny Nom lui répond.
Mathematical & conventional meaning of a word 2001-10-12
A student pose la question :
What is the mathematical & conventional meaning of a word? Like the word Rational or Median.
Penny Nom lui répond.
Proof by induction 2001-09-30
Kyle pose la question :
I'm trying to learn induction and I need to see how this done please help with this problem...

20 + 21 + 22 +... + 2n = 2n+1 -1 is true whenever n is a positive integer.


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.
Induction 2000-09-07
Joe Peterson pose la question :
How do I prove by the principal of mathematical induction?
1.n+2.(n-1)+3.(n-2)+.....+(n-2).3+(n-1).2+n.1=(n(n+1)(n+2))/6

Paul Betts lui répond.
1+4+9+16+...n^2 = n(n+1)(2n+1)/6 2000-06-01
Shamus O'Toole pose la question :
How do you derive that for the series 1+4+9+16+25.. that

S(n)=(n(n+1)(2n+1))/6


Penny Nom lui répond.
Induction 2000-03-16
William Tsang pose la question :
I am trying to prove a induction question

Sigam r=1 n (2r -1)cube = n square (2 n square - 1)


Harley Weston lui répond.
Mathematical deduction and mathematical induction 2000-03-07
Espera Pax pose la question :
What are mathematical deduction and mathematical induction, and what is the difference between them?
Harley Weston lui répond.
Logic and mathematical logic 1999-10-06
Polly Mackenzie pose la question :
What is the difference between logic and math logic?
Walter Whiteley lui répond.
Mathematical Induction and the Derivative 1997-03-18
Shuling Chong pose la question :
"Obtain a formula for the nth derivative of the product of two functions, and prove the formula by induction on n."

Any educated tries are appreciated.
Penny Nom lui répond.

 
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