Prove by the principle of mathematical induction that for all natural numbers n; `n^2+n` is even natural no.

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

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 for all !=psi lonN;n^(2)+n is even natural no.

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1

Prove by principle of Mathematical Induction that for all natural number in n(n+1)(n+2) is divisible by 6.

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

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

Prove by using the principle of mathematical induction that for all n in N, 10^(n)+3.4^(n+2)+5 is divisible by 9

Using principle of mathematical induction prove that sqrt(n) =2