Find the sum to `n` terms of the series: `1/(1. 3)+1/(3. 5)+1/(5. 7)+`

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)+dot+1/(ndot(n+1))

Find the sum to n terms of the series (1.2.3) + (2.3.4) + (3.4.5) ...

FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3.4.5).....

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

Find the sum to n terms of the series (1)/(1*3*5*7*9)+(1)/(3*5*7*9*11)+(1)/(5*7*9*11*13)+"......" . Also, find the sum to infinty terms.

Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

Find the nth term and the sum to n terms of the series 1.2+ 2.3 +3.4 + ...

If the sum to n terms of the series (1)/(1*3*5*7)+(1)/(3*5*7*9)+(1)/(5*7*9*11)+"......" is (1)/(90)-(lambda)/(f(n)) , then find f(0), f(1) and f(lambda)

Find the sum to n terms of the series: 3/(1^2 .2^2)+5/(2^2 .3^2)+7/(3^2 .4^2)+......