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# Geometric Progressions

A geometric progression is a sequence of numbers where the previous term is multiplied by a constant to get the next term. 1, 2, 4, 8,... is a geometric sequence where each term is multiplied by 2.

Given that the first, second, and third terms of a geometric progression are:

\[3, 9, 27 ... , \]

what is the fifth term?

Given that the third, fourth, and fifth terms of a geometric progression are:

\[ \ldots, 45, 135, 405, \ldots, \]

what is the second term?

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