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

Prove the following by the principle of mathematical induction: 1+2+2^(7)=2^(n+1)-1 for all n in N

Prove the following by the principle of mathematical induction: 1^2+2^2+3^2++n^2=(n(n+1)(2n+1))/6

Prove the following by the principle of mathematical induction: 1^2+2^2+3^2++n^2=(n(n+1)(2n+1))/6

Prove the following by the principle of mathematical induction: 1^2+2^2+3^2++n^2=(n(n+1)(2n+1))/6

Prove the following by the principle of mathematical induction: 1+3+3^(2)++3^(n-1)=(3^(n)-1)/(2)

Prove the following by the principle of mathematical induction: 1+3+3^2++3^(n-1)=(3^n-1)/2

Prove the following by the principle of mathematical induction: \ 11^(n+2)+12^(2n+1) is divisible 133 for all n in Ndot

Prove the following by the principle of mathematical induction: \ 11^(n+2)+12^(2n+1) is divisible 133 for all n in Ndot

Prove the following by the principle of mathematical induction: \ 11^(n+2)+12^(2n+1) is divisible 133 for all n in Ndot

Prove the following by the principle of mathematical induction: \ 11^(n+2)+12^(2n+1) is divisible 133 for all n in Ndot