For every integer `n>=1, (3^(2^n) – 1)` is divisible by

For every integer n ge 1, (3^(2n) -1) is divisible by

Using mathematical induction prove that for every integer nge1,(3^(2^(n))-1) is divisible by 2^(n+2) but not by 2^(n+3) .

Prove by mathematical induction that for every natural number n, 3^(2n+2)-8n-9 is divisible by 8 for all n ge 1.

If n is a +ve integer, 4^(n)-3 n-1 is divisible by

If n is a positive integer, then 2.4^(2n + 1) + 3^(3n+1) is divisible by :

If n is +ve integer, 4^n - 3n - 1 is divisible by