`1/(1.2)+1/(2.3)+1/(3.4)+...` to `n` terms

1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

Sum of n terms of (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + …. is

Find the sum to n terms of the series , (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+.... ?

Sum of the series 1+(1+2)+(1+2+3)+(1+2+3+4)+... to n terms be 1/m n(n+1)[(2n+1)/k+1] then find the value of k+m

Prove by the method of induction (1)/(1*2)+(1)/(2*3)+(1)/(3*4)+………… upto n terms =(n)/(n+1) where n in N

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+ 1/n dot((n+1))

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