Sum and product of 3 terms of a G .P .are 19 and 216 respectively then common ratio is

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.

If second third and sixth terms of an A.P.are consecutive terms o a G.P.write the common ratio of the G.P.

We are given two G.P's one with the first term a and common ratio r and the other with first term b and common ratio s. Show that the sequence formed by the product of corresponding terms is a G.P. Find its first term and the common ratio. Show also that the sequence formed by the quotient of corresponding terms is in G.P. Find its first term and common ratio.

The ratio of the sum of 3 terms to the sum of 6 terms of a G.P. is 125:152. Its common ratio is :

Find the common ratio of the G.P. whose first and last terms are 5 and (32)/(625) respectively and the sum of the G.P. is (5187)/(625) :

The sum of 6 terms of G.P.is 9 times its sum of three terms.Find the common ratio.