`(1+1/1)(1+1/2)(1+1/3)......(1+1/n)=(n+1)`

Using Mathemtical induction, show that for any natural number n, (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+...+(1)/(n(n+1))=(n)/(n+1)

If roots of an equation x^n-1=0 are 1,a_1,a_2,........,a_(n-1) then the value of (1-a_1)(1-a_2)(1-a_3)........(1-a_(n-1)) will be (a) n (b) n^2 (c) n^n (d) 0

Using the mathematical induction, show that for any natural number, n ge 2,(1- 1/2^(2))(1-1/3^(2))(1-1/4^(2)). . .(1-1/n^(2))=(n+1)/(2n)

Use the principle of mathematical induction to prove that for every natural number n. (1+3/1)(1+5/4)(1+7/9)...(1+((2n+1))/(n^2))=(n+1)^2

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

Prove by mathematical induction 1/1.2 + 1/2.3 + . . .+ 1/((n)(n+1)) =n/((n+1))

Prove that by using the principle of mathematical induction for all n in N : (1)/(1.4)+ (1)/(4.7)+(1)/(7.10)+...+ (1)/((3n-2)(3n+1))= (n)/(3n+1)