In a geometric progression consisting of positive terms, each term equals the sum of the next terms. Then find the common ratio.

In a geometric progression consisting of positive terms each term equals the sum of the next two terms. Then the common ratio of this progression equals

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is (27)/(19) . Then, the common ratio of this series is

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the 2n terms to the sum of next 2n terms.

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.

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

Sum of all terms in in G.P is 5 times the sum of odd terms. The common ratio is

Find the 10th term of G.P. whose 8th term is 768 and the common ratio is 2.

Two arithmetic progressions have the same numbers. The reatio of the last term of the first progression to the first term of the second progression is equal to the ratio of the last term of the second progression to the first term of first progression is equal to 4. The ratio of the sum of the n terms of the first progression to the sum of the n terms of teh first progression to the sum of the n terms of the second progerssion is equal to 2. The ratio of their first term is