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 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 (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 : 4^(n)+ 15n-1 is divisible by 9.

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 n(n+1)(n+2) is a multiple of 6.

By the Principle of Mathematical Induction, prove the following for all n in N : 4^(n)-3n-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) .

By the Principle of Mathematical Induction, prove the following for all n in N : a^(2n-1)-1 is divisible by a-1.

By the Principle of Mathematical Induction, prove the following for all n in N : 10^(2n-1)+1 is divisible by 11.