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 ?

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

How many geometric progressions are possible containing 27,8 and 12 as three of its/their terms

The first three terms of a geometric progression are 3, -1 and 1/3 . The next term of the 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

There are infinite geometric progressions of for which 27,8 and 12 are three of its terms (not necessarily consecutive). Statement 2: Given terms are integers.

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative,then the first term is

The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is 93. Then, the fourth term of this geometric progression is

The second term of an infinte geometric progression is 2 and its sum to infinity is 8. The first term is