Sequence and Series|Sum to n terms of G.P

The sum of first three terms of a G.P is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

The common ratio, last term and sum of n terms of a G.P. are 2, 128 and 255 respectively. Find the value of n.

In a sequence, if S_n is the sum of n terms and S_(n-1) is the sum of (n-1) terms, then the nth term is _________.

The nth term of a G.P. is 3cdot2^(n). Find the sum of 8 terms of the G.P.

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

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

In an infinite G.P. the sum of first three terms is 70. If the externme terms are multipled by 4 and the middle term is multiplied by 5, the resulting terms form an A.P. then the sum to infinite terms of G.P. is :

The 4 th and 7 th terms of a G.P.are (1)/(27) and (1)/(729) respectively.Find the sum of n terms of the G.P.

If S be the sum,p the product and R the sum of the reciprocals of n terms of a G.P.,then ((S)/(R))^(n) is equal to