Find the sum up to 20 terms. `1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+`

Find the sum to n terms of the series 1//(1xx2)+1//(2xx3)+1//(3xx4)++1//n(n+1)dot

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+oo

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

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

Find the sum up to the 17^(th) term of the series (1^3)/(1) + (1^3 + 2^3)/(1+3) + (1^3 + 2^3 + 3^3)/(1+3+5)+ ….

Find the sum to n terms of each of the series in 1/(1xx2)+1/(2xx3)+1/(3xx4)+.......

Find the value of the determinant |1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20|

Find the sum of series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1))^2+5((2n+1)/(2n-1))^3+...

Find the sum upto the 17^(th) term of the series 1^(3)/1 + (1^(3)+2^(3))/(1+3) + (1^(3)+2^(3)+3^(3))/(1+3+5)+...