Prove by the principal of mathematcal induction that for all `n in N`.
`1^(2) + 3^(2) + 5^(2) + …… + (2n - 1)^(2) = (n(2n - 1) (2n + 1))/(3)`

Prove by the principle of mathematical induction that for all n in N : 1+4+7++(3n-2)=1/2n(3n-1)

Prove by the principal of mathematica induction that 3^(n) gt 2^(n) , for all n in N .

Prove by the principle of mathematical induction that for all n in N : 1^2+2^2+3^2++n^2=1/6n(n+1)(2n+1)

Prove by the principle of induction that for all n N ,\ (10^(2n-1)+1) is divisible by 11.

Prove the following by using the principle of mathematical induction for all n in N : (2n+7)<(n+3)^2 .

Prove by the principle of mathematical induction that for all n belongs to N :\ 1/(1. 3)+1/(3.5)+1/(5.7)++1/((2n-1)(2n+1))=n/(2n+1)

Prove the following by using the principle of mathematical induction for all n in N : 1^2+3^2+5^2+dotdotdot+(2n-1)^2=(n(2n-1)(2n+1))/3

Prove the following by using the principle of mathematical induction for all n in N : 1. 2. 3 + 2. 3. 4 + .. . + n(n + 1) (n + 2)=(n(n+1)(n+2)(n+3))/4

Prove the following by using the principle of mathematical induction for all n in N : 1 + 2 + 3 + ... + n <1/8(2n+1)^2 .

Prove by the principle of mathematical induction that for all n in N ,3^(2n) when divided by 8 , the remainder is always 1.