For all `ninNN`, prove by principle of mathematical induction that,
`2*7^(n)+3*5^(n)-5` is divisible by 24.

For all ninNN , prove by principle of mathematical induction that, 12^(n)+25^(n-1) is divisible by 13.

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

For all ninNN , prove by principle of mathematical induction that, 15^(2n-1)+1 is divisible by 16.

For all ninNN , prove by principle of mathematical induction that, 4^(n)+15n-1 is a multiple of 9.

For all ninNN , prove by principle of mathematical induction that, 1+3+5+ . . .+(2n-1)=n^(2) .

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.

Prove by the principle of mathematical induction that n(n+1)(2n+1) is divisible by 6 for all n in N

If ninNN , then by principle of mathematical induction prove that, 10^(n)+3*4^(n+2)+5" "[nge0] is divisible by 9.

Prove by the principle of mathematical induction that: n(n+1)(2n+1) is divisible by 6 for all n in Ndot