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1+(1)/((1+2))+(1)/((1+2+3))+cdots+(1)/((...

1+(1)/((1+2))+(1)/((1+2+3))+cdots+(1)/((1+2+3,...n))=(2n)/((n+1))

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

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

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

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

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

Find the sum 1+(1)/(1+2) + (1)/(1+2+3) + cdots+ (1)/(1+2+3+cdots+ n )

For all ngt=1 , prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)

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

(1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.......+(1)/(n(n+1))=(n)/(n+1),n in N is true for