Prove by mathematical induction that for any positive integer n , `3^(2n)-1` is always divisible by 8 .

Show that for any positive integer 3^(2n+2)-8n-9 is divisible by 64 .

For + ve integer n,n^(3)+2n is always 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) .

If n is a positive integer (gt1) ,show that , 3^(2n+2)-8n-9 is always divisible by 64.

Prove that by using the principle of mathematical induction for all n in N : 3^(2n+2)-8n-9 is divisible by 8

Prove that by using the principle of mathematical induction for all n in N : 10^(2n-1)+1 is divisible by 11

If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is always divisible by 225.

Prove that by using the principle of mathematical induction for all n in N : x^(2n)-y^(2n) is divisible by x+y

If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divisible by 9.

For every positive integer n, prove that 7^(n) – 3^(n) is divisible by 4.