Sum to n terms that series.
`1+4/3+(10)/(9)+(28)/(27)`+……….

Sum to n terms the series 1+3+5+7+9+...

The sum to n terms of the series (1)/(2) + (3)/(4) + (7)/(8) + (15)/(16)+…. is equal to :

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 (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 to n terms of the series 1/(1+1^(2)+1^(4))+2/(1+2^(2)+2^(4))+3/(1+3^(2)+3^(4))+… .

Prove that the sum to n terms of the series 11 + 103 + 1005 + …. Is (10/9) (10^(n)-1)+n^(2) .

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

Find the sum to n terms of the series given below:- 1/(1xx2)+1/(2xx3)+1/(3xx4) +....

Sum of n terms of the series 1^(3)+3^(3)+5^(3) +7^(3) + .... is