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

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

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 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 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 (1+1/1)(1+1/2)(1+1/3)...(1+1/n)=(n+1) .

Using the principle of mathmatical induction, prove each of the following for all n in N 1/(1*3)+1/(3*5)+1/(5*7)+...+1/((2n-1)(2n+1))=n/((2n+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 : 4+8+ 12+......+ 4n= 2n(n + 1) .