Does there exist a geometric progression containing 27 and 8 and 12 as there of its terms ? If it exists, how many such progressions are possible?

Does there exist a geometric progression containing 27,8 and 12 as three of its term ? If it exists, then how many such progressions are possible ?

The third term of a geometric progression is 4. Then find the product of the first five terms.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

A series whose terms are in Geometric progression is called …….

In a Geometric Progression, the 4th term is 8, and the 8th term is (128)/(625) . Find the Geometric Progression.

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

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