For all `n in N, 3n^(5) + 5n^(3) + 7n` is divisible by

For all n in N , 3.5^(2n+1) + 2^(3n+1) is divisible by

For all n in N, 2^(n+1) + 3^(2n-1) is divisible by: (i) 5 (ii) 7 (iii) 14 (iv) 135

Prove the following by using the principle of mathematical induction for all n in N 2.7^n + 3.5^n - 5 is divisible by 24.

For all n in N, 3^(3n)-26^(n)-1 is divisible by

For all n in N, 3^(3n)-26^(n)-1 is divisible by

For all n in N, n^(3)+2n is divisible by