Using the principle of mathmatical induction, prove each of the following for all `n in N`
`n(n+1)(n+2)` is a multiple of 6.

Using the principle of mathematical induction, prove each of the following for all n in N 3^(n) ge 2^(n)

Using the principle of mathematical induction, prove each of the following for all n in N 2+4+6+8+…+2n=n(n+1) .

Using the principle of mathmatical induction, prove each of the following for all n in N (4^(n)+15n-1) is divisible by 9.

Using the principle of mathmatical induction, prove each of the following for all n in N 2+6+18+…+2*3^(n-1)=(3^(n)-1) .

Using the principle of mathematical induction, prove each of the following for all n in N 1+2+3+4+…+N=1/2 N(N+1) .

Using the principle of mathematical induction, prove each of the following for all n in N (x^(2n)-1) is divisible by (x-1) and (x+1) .

By the Principle of Mathematical Induction, prove the following for all n in N : 15^(2n-1)+1 is multiple of 16.

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

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

Using the principle of mathematical induction, prove that (n^(2)+n) is seven for all n in N .