Prove by the principle of mathematical induction that `(n^5)/5+(n^3)/3+(7n)/(15)` is a natural number for all `n in Ndot`

Prove by Principle of Mathematical Induction, that (n^5/5 + n^3/3+ (7n)/15) is a natural number for all n in N.

Show that (n^5)/(5) + (n^3)/(3) + (7n)/(15) is a natural number for all n in N

Prove that n^5/5 + n^3/3+(7n)/(15) is a natural number.

Show that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number, for all n inN

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

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 in N ,n^2+n is even natural number.

Prove the following by the principle of mathematical induction: (n^7)/7+(n^5)/5+(n^3)/3+2(n^3)/3-n/105 is a positive integer for all n in Ndot