Prove by the method of Induction for all `n in N`:
`1/3.5 + 1/5.7 + 1/7.9 + …. n terms = n/(3(2n+3))`

Prove the following by the method of induction for all n in N : 1.3 + 3.5 + 5.7 +... to n terms =n/3 (4n^2 + 6n - 1) .

Prove the following by the method of induction for all n in N : 3 + 7+ 11 +.. to n terms = n(2n + 1).

Prove the following by the method of induction for all n in N : 1/1.3 + 1/3.5 + 1/5.7+...+ 1 / ((2n-1)(2n+1)) = n / (2n+1)

Prove the following by the method of induction for all n in N : 1^3 + 3^3 + 5^3 + ... to n terms = n^2 (2n^2 - 1) .

Prove, by method of induction, for all n in N : 8 + 17 + 26 +...+ (9n - 1) = n/2 (9n + 7)

Prove the following by the method of induction for all n in N : 1.2 + 2.3 + 3.4 +...+ n(n + 1) = n/3 (n+1)(n+2).

Prove the following by the method of induction for all n in N : 5 + 5^2 + 5^3 + .. + 5^n = 5/4 (5^n - 1)

Prove the following by the method of induction for all n in N : 1^2 + 3^2 + 5^2 + ... + (2n - 1)^2 = n/3 (2n -1) (2n +1)

Prove the following by the method of induction for all n in N : 2 + 4 + 6 +... +2n = n(n + 1).

Prove by Method of Induction n^2 < 2^n , AA n in N and n ge 5