Home
Class 12
MATHS
Let Sn denote the sum of first n terms o...

Let `S_n` denote the sum of first n terms of a G.P. whose first term and common ratio are a and r respectively. On the basis of above information answer the following question: The sum of product of first n terms of the G.P. taken two at a time in (A) `(r+1)/r S_nS_(n-1)` (B) `r/(r+1)S_n^2` (C) `r/(r+1)S_nS_(n-1)` (D) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Let S_n denote the sum of first n terms of a G.P. whose first term and common ratio are a and r respectively. On the basis of above information answer the following question: S_1+S_2+S_2+..+S_n= (A) (na)/(1-r)-(ar(1-^n))/((1-r)^20 (B) (na)/(1-r)-(ar(1+^n))/((1+r)^20 (C) (na)/(1-r)-(a(1-^n))/((1-r)^20 (D) none of these

If S is the sum to infinite terms of a G.P.whose first term is 1. Then the sum of n terms is

Let S_(n) denote the sum of n terms of an AP whose first term is a.If common difference d is given by d=Sn-kS_(n-1)+S_(n-2), then k is :

Prove that the sum of n terms of GP with first term a and common ratio r is given by S_(n)=a(r^(n)-1)/(r-1)

if S_(n) denotes the sum of n terms of a G.P whose first term is a and common ratio is r then find the sum of S_(1),S_(3),S_(5).........,S_(2)n-1

If S is the sum to infinite terms of a G.P.whose first term is 'a',then the sum of the first n terms is

Prove that the nth term of the GP with first term a and common ratio r is given by a_(n)=ar^(n-1)