" to 'n' terms of series: "1+(1+(1)/(3))+(1+(1)/(3)+(1)/(3^(2)))+.........

The sum of n terms of the series 1+2 (1 + (1)/(n)) +3 (1+ (1)/(n))^(2) + ….is

Sum to n terms of the series :1 + 2 (1 + (1)/(n)) + 3 (1 + (1)/(n )) ^(2) + ………

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

The sum to n terms of the series 1+2 (1+(1)/(n))+3 (1+(1)/(n))^(2)+ cdots is given by

The sum to n terms of series (1)/(1)+(1)/(1+2)+(1)/(1+2+3)+... is

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))

Let H_(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n) , then the sum to n terms of the series (1^(2))/(1^(3))+(1^(2))/(1^(3))+(2^(2))/(2^(3))+(1^(2)+2^(2)+3^(2))/(1^(3)+2^(3)+3^(3))+ . . . , is

Sum of n terms of the series (1)/(1.2.3.4.)+(1)/(2.3.4.5)+(1)/(3.4.5.6)+...