the sum of series `1+(1+2)/2+(1+2+3)/3+.......` to n terms

Find the sum of the following series : 1+(1+2)+(1+2+3) + .... to n terms .

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

Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......

Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......

Find n^(th) term of the series 1+(1+2)+(1+2+3)+.... Find the sum to n terms of the series

Find the sum to n terms of the series 1+(1+2)+(1+2+3)+......

Find the sum of n-terms: [(1/1)+(1^3 +2^3)/2 +(1^3 +2^3 +3^3)/3+....to n -terms

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

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