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 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) .

By Principle of Mathematical Induction, prove that : 2^n >n for all n in N.

By using the principle of mathematical induction , prove the follwing : P(n) : 2 + 4+ 6+ …..+ 2n =n(n+1) , n in N

By the Principle of Mathematical Induction, prove the following for all n in N : 3^(2n)-1 is divisible by 8 .

By using the Principle of Mathematical Induction, prove the following for all n in N : 1.1! +2.2! +3.3! +.......+ n.n! = (n+1)!-1 .

By the Principle of Mathematical Induction, prove the following for all n in N : 1+4+7+.....+ (3n-2)= (n(3n-1))/2 .