In a G.P. the product of the first four terms is 4 and the second term is the reciprocal of the fourth term. The sum of infinite terms of the G.P is

In a geometric progression the ratio of the sum of the first 5 terms to the sum of their reciprocals is 49 and sum of the first and the third term is 35. The fifth term of the G.P. is

Find the sum of an infinite G.P. whose first term is 28 and the second term is 4.

In a G.P the sum of first n terms is S,the product is P and the sum of the reciprocals of the terms is R.Show that P^2=(S/R)^n .

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

In a G.P., the sum of the first and the last term is 66, the product of the second and the last but one is 128 and the sum of terms is 126. If the decreasing G.P. is considered, then the sum of the infinite terms are -

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is

The second term of a G.P. is 2 and the sum of infinite terms is 8. Find the first term.

In a G.P the sum of the first and last terms is 66, the product of the second and the last but one is 128, and the sum of the terms is 126 If the decresing G.P is considered , then the sum of infinite terms is

In an increasing G.P. the sum of the first and last term is 66 the product of the second and the last terms is 128 and the sum of the terms is 126 . Then number of terms in the series is .

In a G.P., the sum of the first and the last term is 66, the product of the second and the last but one is 128 and the sum of terms is 126. If an increasing G.P. is considered, then the number of terms in G.P. is -