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How many geometric progressions are poss...

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

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Does there exist a geometric progression containing 27, 8 and 12 as three 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 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 ?