Q: Use the principle of induction to prove that 1/1^2 + 1/2^2 + ... + 1/n^2 <= 2 - 1/n for all n within the set of Natural Numbers.

My Solution: Let S = {n within N : {1/n^2} <= 2 - 1/n}

1 is within N, and 1/1^2 <= 2 - 1/1 = 1, so 1 is within S.

Let k be within S.

Proof: (k+1) is within S...

Any hints?

KK