Math Help - Proof by induction stuck on a sum help needed

Code:

Given that m is an odd positive integer, prove that 




 is divisible by 32 for all such values of m.

I made it divisible by 8:

But I could not make it divisible by 32. A little help please, I feel I was very close to the solution.
My method is right, right?

Hello,

Originally Posted by ssadi

Code:

Given that m is an odd positive integer, prove that 




 is divisible by 32 for all such values of m.

I made it divisible by 8:

But I could not make it divisible by 32. A little help please, I feel I was very close to the solution.
My method is right, right?

You can use the fact that k is odd, that is to say

It'll give you what you want, but the method you use looks very long to me...
Dunno if there's another way (thinking on it)