Using mathematical induction , show that `(1-(1)/(2^2))(1-(2)/(3^2))(1-(1)/(4^2)).....(1-(1)/((n+1)^2))=(n+2)/(2(n+1)), forall n in N`.

If ninNN , then by principle of mathematical induction prove that, Use mathematical induction to prove (1-(1)/(2^(2)))(1-(1)/(3^(2)))(1-(1)/(4^(2))). . . .(1-(1)/((n+1)^(2)))=(n+2)/(2n+2) for all positive integers n.

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

Using the principle of mathematical induction prove that (1)/(1.2.3)+(1)/(2.3.4)+(1)/(3.4.5)+...+(1)/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2) for all n in N

Use principle of mathematical induction to prove that (1+(3)/(1))(1+(5)/(4))...(1+(2n+1)/(n^(2)))=(n+1)^(2)

Using mathematical induction prove that (1+3/1)(1+5/4)(1+7/9)......(1+(2n+1)/n^2)=(n+1)^2 for all n in N

By using mathematical induction prove that 1+4+7+...+(3n-2)=(n(3n-1))/2

Prove by mathematical induction that, 1^(2)-2^(2)+3^(2)-4^(2)+ . . .. +(-1)^(n-1)*n^(2)=(-1)^(n-1)*(n(n+1))/(2),ninNN .

By using the principle of mathematical induction , prove the follwing : P(n) : (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + …….+ (1)/(n(n+1)) = (n)/(n+1) , n in N

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : (1+(3)/(1))(1+(5)/(4))(1+(7)/(9))....(1_+((2n+1))/(n^(2)))= (n+1)^(2)