Prove by the principal of mathematica induction that `3^(n) gt 2^(n)`, for all `n in N`.

Prove by the principle of Mathematical Induction that log x^(n)=nlogx , for all n in N .

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

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

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

Prove by the principal of mathematcal induction that for all n in N . 1^(2) + 3^(2) + 5^(2) + …… + (2n - 1)^(2) = (n(2n - 1) (2n + 1))/(3)

Prove by the principle of mathematical induction that for all n in N : 1+4+7++(3n-2)=1/2n(3n-1)

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 ,n^2+n is even natural number.

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 n belongs to N :\ 1/(1. 3)+1/(3.5)+1/(5.7)++1/((2n-1)(2n+1))=n/(2n+1)