Prove by the principle of mathematical induction that for all `n N :\ ` `1/(1. 3)+1/(35)+1/(57)++1/((2n-1)(2n+1))=n/(2n+1)`

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 by the principle of mathematical induction that for all nN:(1)/(1.3)+(1)/(35)+(1)/(57)++(1)/((2n-1)(2n+1))=(n)/(2n+1)

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

Prove the following by using the principle of mathematical induction for all n in N (1)/(1.3) + (1)/(3.5) + (1)/(5.7) + …….+(1)/((2n-1)(2n+1)) = (n)/(2n+1)

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

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 mathematical induction that for all n in N:1^(2)+2^(2)+3^(2)+...+n^(2)=(1)/(6)n(n+1)(2n+1)

Prove that by using the principle of mathematical induction for all n in N : (1)/(3.5)+ (1)/(5.7)+ (1)/(7.9)+ ....+(1)/((2n+1)(2n+3))= (n)/(3(2n+3))

Prove that by using the principle of mathematical induction for all n in N : (1)/(3.5)+ (1)/(5.7)+ (1)/(7.9)+ ....+(1)/((2n+1)(2n+3))= (n)/(3(2n+3))

Prove that by using the principle of mathematical induction for all n in N : (1)/(3.5)+ (1)/(5.7)+ (1)/(7.9)+ ....+(1)/((2n+1)(2n+3))= (n)/(3(2n+3))