Ahhh...math induction...WTH is this stuff. Anyone have any good links for easy ways to learn it?

Anyway...here are the problems:

For ecah natural number n, with n greater than or equal to 6, 2^{n}> (n+1)^{n}**I was thinking since P(k) is tue, then 2^{k}>(k+1)^{2}multiply both sides by two and we get: 2^{k}*2 > 2(k^{2}+2k+1) and I am stuck...

2nd question:

Prove or disprove:

For each natural number n, 1/(1*2)+1/(2*3)+...+1/n(n+1)=n/n+1

Any help would be great!!