If `[12^(n)+25^(n-1)]` is divisible by 13, then show that `[12^(n+1)+25^(n)]` is also divisible by 13.

If (2^(2n)-1) is divisible by 3, then show that, [2^(2(n+1))-1] is also divisible by 3.

If (2^(2n)-1) is divisible by 3, then show that [2^(2(n+1))-1] is also divisible by. 3

If (15^(2n-1)+1) is divisible by 16, then show that (15^(2n+1)+1) is also divisible by 16.

If (2^(2n)-1) is division by 3,then show that [2^(2(n+1))-1] is also divisible by 3.

11^(n+2)+12^(2n+1) is divisible by 133

If (2^(3n)-1) is divisible by 7, then prove that, [2^(3(n+1))-1] is also divisible by 7.

If ( 12^n + 1) is divisible by 13, then n is

If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is also divisible by 11.

((n+2)!)/( (n-1)!) is divisible by

If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also divisible by 9. then show that, [(n+1)^(3)+(n+2)^(3)+(n+3)^(3)] is also divisible by 9.