Prove the following statements are true for all n >= 1 (a) a + ar + ar2 + + arn-1 = a-arn, where r#0 1-T (b) 22+ 42 +..(2n)2 2n(n+)2n+1) (c) 1- 21 + 2 22+3 23.n - 2"- (n -1) 2n*1 2 3 1 3.5 57(2n-1) (2n+1) 2n+1 (e) n! >- 2n-1