The first terms of  a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

If each term of an infinite G.P. is twice the sum of the terms following it, then find the common ratio of the G.P.

If the 3rd term of a G.P. is the square of the first term and its fifth term is 729, find the G.P.

The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

Sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100, then the common ratio of the G.P. is-

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

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