Prove by the principle of mathematical induction that for all `n in N ,n^2+n` is even natural number.

Prove by the principle of mathematical induction that n<2^(n) for alln in N

Prove by the principle of mathematical induction that n<2^n"for all"n in Ndot

Prove by the principle of mathematical induction that for all !=psi lonN;n^(2)+n is even natural no.

Prove by the principle of mathematical induction that 2^ n >n for all n∈N.

Prove by the principle of mathematical induction that for all n in N ,3^(2n) when divided by 8 , the remainder is always 1.

Prove by the principle of mathematical induction that for all n in N. 5^(2n)-1 is divisible by 24 for all n in N .

Prove by the principle of mathematical induction that for all n in N. 3^(2n)+7 is divisible by 8 for all n in N .

Prove by the principle of mathematical induction that for all n in N,3^(2n) when divided by 8, the remainder is always 1.

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

Using the principle of mathematical induction, prove that n<2^n for all n in N