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Mathematical induction :

Posted June 12th, 2009 by alpha
in

Using the principle of mathematical induction , prove that if n be any odd positive integer , then $ n(n^2-1) $ is divisible by 24.

‹ Mathematical induction : Prove ›

Comments

answer

On June 12th, 2009 Structure says:

Try yourself,
it is very easy.
You have to know what to do and it works
(2n-2)(2n-1)2n =24a
2n(2n+1)(2n+2)=2n(2n+1)(2n+2)-(2n-2)(2n-1)2n +24a=.....

First step

On June 12th, 2009 alpha says:

In the First step of mathematical induction, it is required to prove the given statement for n=1.But in this question it is not true.

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answer

On June 12th, 2009 Structure says:

You know about induction better than a teacher.
In this question the first step is valid.
0*1*2=0=0*24
2*3*4=24=1*24
4*5*6=5*24
You can continue.....

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