If the sum of `n` terms of a G.P. is `3-(3^(n+1))/(4^(2n))` , then find the common ratio.

If the sum of the n terms of a G.P. is (3^(n)-1) , then find the sum of the series whose terms are reciprocal of the given G.P..

If the sum of n terms of an A.P. is (pn + qn^2) , where p and q are constants, find the common difference.

If the sum of n terms of an A.P is (pn + qn^(2)) , where p and q are constants, find the common difference.

If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are constants, find the common difference.

Let S_n denote the sum of first n terms of an A.P. If S_(2n)=3S_n , then find the ratio S_(3n)//S_ndot

The sum of first three terms of a G.P. is 13/12 and their product is – 1. Find the common ratio and the terms.

The sum of first three terms of a G.P. is and their product is 1. Find the common ratio and the terms.

If the sum of n terms of an A.P. is 3n^(2) + 5n and its m^(th) term is 164, find the value of m .

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

Find the sum of first n terms of the G.P. 5, -3, (9)/(5), -(27)/(25), …