Prove each of the following statements using mathematical induction:

1. Prove each of the following statements using mathematical induction: (3) 12+22+32+...+n2= \"(\"+1)(2\"+1) 6 forallnzl. (b) ;+;+ +;_i 1-2 2-3 n-(n+1)_n+1 forallnzl. (C) 1 1 1 1 foralln22. 2. Prove the following by mathematical induction: (a) n2