In a geometric progression, if the ratio of the sum of first `5` terms to the sum of their reciprocals is `49,` and the sum of the first and the third term is `35.` Then the first term of this geometric progression 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

In a geometric progression, the sum of first three terms is 35 and the sum of squares of the first three terms is 525. The second term of the geometric progression is

The sum of an infinite geometric progression is 243 and the sum of its first five terms is 275 The first term of the progression

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

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

In an increasing geometric progression, the sum of the first and the last term is 99, the product of the second and the last but one term is 288 and the sum of all the terms is 189. Then, the number of terms in the progression is equal to

In an increasing geometric progression, the sum of the first and the last term is 99, the product of the second and the last but one term is 288 and the sum of all the terms is 189. Then, the number of terms in the progression is equal to

A geometrical progression of positive terms and an arithmetical progression have the same first term. The sum of their first terms is 1 , the sum of their second terms is (1)/(2) and the sum of their third terms is 2. Calculate the sum of their fourth terms.

The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

A geometric progression of real numbers is such that the sum of its first four terms is equal to 30 and the sum of the squares of the first four terms is 340. Then