If the sequence `{S_(n)}` is a geometric progression and `S_(2)S_(11)=S_(p)S_(8)`, then what is the value of p ?

Let S_(n) be the sum of the first n terms of an arithmetic progression .If S_(3n)=3S_(2n) , then the value of (S_(4n))/(S_(2n)) is :

For a sequence, if S_(n)=(n)/(n+1) then find the value of S_(10) .

A sequence contains the terms S_(1),S_(2),S_(3),...S_(n), where S_(2)=2&S_(n)=S_(n-1)+2S_(2) What is the value of S_(18)

Let s_(n) denote the sum of first n terms of an A.P. and S_(2n) = 3S_(n) . If S_(3n) = kS_(n) then the value of k is equal to

If in an A.P.S_(n)=n^(2)p and S_(m)=m^(2)p, then S_(p) is equal to

If n ne 3p , and s = (n^(2)+p)/(n-3p) , what is the value of p in terms of n and s ?

In an A.P., if S_(n) = n(4n + 1), then the value of S_(20) is

Let S_(n) be the sum of first n terms of an A.P. If S_(2n) = 5s_(n) , then find the value of S_(3n) : S_(2n) .