Using principle of mathematical induction, prove that
`(1)/(1.2)+(1)/(2.3)+(1)/(3.4)+. . . . +(1)/(n(n+1))=(n)/(n+1)`

By Mathematical Induction, prove that : n! 1 .

Using principle of mathematical induction, prove that: 1+3+5+………..+(2n-1)= n^2 .

Use principle of mathematical induction to prove that: 1+2+3+……….+n=(n(n+1))/2

Prove the following by using the principle of mathematical induction for all n in N :- 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)) .

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

By Principle of Mathematical Induction, prove that : 2^n >n for all n in N.

Prove the following by using the principle of mathematical induction for all n in N :- 1.2 + 2.3 + 3.4 +... +n.(n+1)=[(n(n+1)(n+2))/3]

Prove the following 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.