The sum of first two terms of an infinite geometric series is 15 and each term is equal to the sum of all the terms following it, find the series.

If the sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45 , find the G.P.

Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

The sum of first two terms of an infinite G.P. is 5 and each term is three times the sum of the succeeding terms. Find the G.P.

The sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45. Find the series.

If the sum of first two terms of an infinite G.P is 1 and every term is twice the sum of all the successive terms then its first term is

The first term of an infinite G.P. is 1 any term is equal to the sum of all the succeeding terms. Find the series.

The first term of an infinite G.P. is 1 and every term is equals to the sum of the successive terms, then its fourth term will be

In an infinite geometric progression , the sum of first two terms is 6 and every term is four times the sum of all the terms that follow it . Find (i) the geometric progression and (ii) its sum of infinity .

The first term of an infinite geometric series is 21. The second term and the sum of the series are both positive integers. Then which of the following is not the possible value of the second term a. 12 b. 14 c. 18 d. none of these

The sum of the first three terms of an arithmetic progression is 9 and the sum of their squares is 35. The sum of the first n terms of the series can be