Prove by induction that `4+8+12++4n=2n(n+1)` for all `n Ndot`

Prove by induction that 4+8+12++4n=2n(n+1) for all nN.

Prove by mathematical induction 4 + 8 + 12 +... 4n = 2n(n + 1).

If A=[(3,-4),(1,-1)] , prove by induction that A_n=[(1+2n,-4n),(n,1-2n)],n in N

Prove by the principle of mathematical induction that 4+8+12+….+4n=2n(n+1),AA n in N .

Prove the following by the principle of mathematical induction: \ 1+2+2^2.......+2^n=2^(n+1)-1 for all n in Ndot

If A is a square matrix, using mathematical induction prove that (A^T)^n=(A^n)^T for all n in Ndot

Prove, by Mathematical Induction, that for all n in N, 3^(2n)-1 is divisible by 8.

Prove by the principle of mathematical induction that n<2^n"for all"n in Ndot

Prove the following by the principle of mathematical induction: \ (a b)^n=a^n b^n for all n in Ndot

Prove by the principle of mathematical induction that: n(n+1)(2n+1) is divisible by 6 for all n in Ndot