
INDUCTION PROBLEM
I have a question.This one's either really hard or really stupid(Worried)
it's an induction problem.
$\displaystyle (1  1/2^2) * (1 1/3^2) * ....... * ( 1  1/n^2) = (n+1)/2n $
(Shake) been solving it since past several hours.(Wondering) 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.(Nerd)
Please help,

Multiply instead of adding.
Note that $\displaystyle \frac{(n+1)}{2n}\cdot \left(1\frac{1}{(n+1)^{2}}\right)=\frac{n+2}{2(n+1)}$
Which it what you want to show.

I think it will be multiplied though.If you take out a term from summation you know that it needs to be added to the sum of all the other terms.

oh well,i didn't see that.(Speechless).thanks!