Answer Happy

(1) Use mathematical induction to prove the following identities. (a) n 1 1.3 1 + 3.5 1 + ... + (2n - 1)(2n +1) for all n 1. 2n +1 (b) 72 (i+1)2° = 1 + n2n+1 for all n > 0. i=0