If the sum of an infinite G.P. is `9/4` and the second term is `1/2`, find the series.

The sum of an inifinite G.P. is 8. If the second term is 2, then find the first term and the series.

Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is 3/4 , then :

The sum of an infinite number of terms of a G.P. is 15 and the sum of their squares is 45. Find the G.P.

If the 10th term of a G.P. is 9 and 4th term is 4, then its 7th term is :

The sum of three consecutive terms of an A.P. is 9 and the sum of their squares is 35. Find the terms.

In a G.P the sum of the first and last terms is 66, the product of the second and the second last term is 128, and the sum of the terms is 126 If the decresing G.P is considered , then find the number of terms

The sum of first three terms of a G.P. is 39/10 and their product is 1 . Find the common ratio and the terms.

The first term of a G.P. is 2 and the sum to infinity is 6. Find the common ratio.

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.

Find the sum to infinity by finding the sum to n terms or directly of the series : 1+3/2+5/2^2+7/2^3 + ...........