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Let a(1),a(2),a(3),a(4),a(5) be a five t...

Let `a_(1),a_(2),a_(3),a_(4),a_(5)` be a five term geometric sequence satisfies the condition `0 lt a_(1) lt a_(2) lt a_(3) lt a_(4) lt 100` , where each term is an integar . Then the number of five terms in geometric progression are

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