Using principle of mathematical induction prove that `2^(3n)-1` is divisible by 7 .

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using principle of mathematical induction, prove that 7^(4^(n)) -1 is divisible by 2^(2n+3) for any natural number n.

For all ninNN , prove by principle of mathematical induction that, 2^(3n)-1 is divisible by 7.

Using the principle of mathematical induction ,prove that x^n-y^n is divisible by (x-y) for all n in N .

Using principle of mathematical induction prove that sqrtn = 2 .

Using the principle of mathematical induction prove that 3^(2n+1)+2^(n+2) is divisible by 7 [n in N]

If ninNN , then by principle of mathematical induction prove that, 3^(2n+2)-8n-9 is divisible by 64.

If ninNN , then by principle of mathematical induction prove that, 5^(2n+2)-24n-25 is divisible by 576.

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

By the principle of mathematical induction prove that (5^(2n)-1) is always divisible by 24 for all positive integral values of n.