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

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

If S denotes the sum to infinity and S_(n) , denotes the sum of n terms of the series 1+(1)/(2)+(1)/(4) + (1)/(8)+ cdots , such that S-S_(n) lt (1)/(100) , then the least value of n is

Find the sum to n terms of the series 1//(1xx3)+1//(3xx5)+1//(5xx7)+ cdots .

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

Find the sum to n terms of the series in the following n^ (th) terms is given by (2 n-1)^2

Find the sum to n terms of the series in the following n^ (th) terms is given by n(n+1)(n+4)

Find the sum to n terms of the series whose n^(th) term is (2n-1)^2

Find the sum to n terms of the series whose n^(th) term is n(n+1)(n+4)

Find the sum to n terms of the series 3+15+35+63+ cdots .