2. b) Show by mathematical induction that:
(1 - 1/4) (1 - 1/9) (1 - 1/16) ... (1 - 1/n^2) = n+1 / 2n, for n >= 2
I did p(1) and it is true
I assumed p(k) is true and moved onto p(k+1) to see if it is true. I'm stuck here.
Since p(1) true the left side is replaced with the right, I get:
n+1 / 2n = (n+1/2n) (1-1/(n+1)^2)
A lil' kick in the right direction and I should be able to solve this.