I have a question.This one's either really hard or really stupid

it's an induction problem.

$\displaystyle (1 - 1/2^2) * (1- 1/3^2) * ....... * ( 1 - 1/n^2) = (n+1)/2n $

been solving it since past several hours. but i am not getting my L.H.S = RH.S for this one.

I started with proving if p(n) then p(n+10

so L.H.S = [1 - 1/(n+1)^2] + (n+1)/2n

R.H.s = (n+2)/2(n+1).

I can't just prove them equal.

Please help,