Prove by mathematical induction each of the following identities: 1+2+3+...+ n = (a) bin (b) (c) (d) (e) r 1 +2+3+...+n 12+2.3+3.4+...+ n(n+1) = n(n + 1)(n + 2) Bend 3 mibnog n(n+1) 2 n(n + 1)(2n +1) 6 1 +3 +5 +...+(2n-1) = n(4n - 1) 3 1+2.2+3.2+...+n2"-1 (n-1)2" + 1. 1) (1 + = (J 1 + 1.3 3.5 5.7 ad brew to bolo on Insortium sa n 2n +1' PAY Jishigay 1 (2n-1)(2n + 1) +...+ Blumniol notamusen