Prove the following equalities using mathematical induction: a. i=1n1(i(i+1)1)=11, for all integer n2. b. i=1n(2i1)=n2, for all integer n1

Prove the following equalities using mathematical induction: a. b. 1 1)) 1 integer n 22. (2i 1) n2,for all integ er n 21.