evaluating p^n=(2- 1/4)(2- 1/9)...(2- 1/n^2), n>2

[kbdesigner]

I am have trouble understanding what steps to take to solve this problem, I am not sure how to prove the expression by using the mathematical induction.

p^n=(2- 1/4)(2- 1/9).....(2- 1/n^2), with n>2

 

[pka]

I don't see anything to prove there.
That is just a statement of how we find \(\displaystyle p^n\) for each n.
Unless we have a closed form for \(\displaystyle p^n\) there is nothing to prove.
We do not prove a simple definition.

 

[Deleted member 4993]

Re: evaluating a product

I am have trouble understanding what steps to take to solve this problem, I am not sure how to prove the expression by using the mathematical induction.

p^n=(2- 1/4)(2- 1/9).....(2- 1/n^2), with n>2

Did you post the complete problem?