A geometric progression is a sequence where each term differs from its neighbors by a common ratio. That is to say, to find the next term in the sequence requires multiplying by the common ratio. Thus \( 1, 3, 9, 27, \dots \) is a geometric progression with a common ratio of \( 3 \).

If the initial term of an arithmetic progression is given by \( g_1 \) and the common ratio by \( d \), then the general term is:

\[ g_n = g_1 \cdot d^{n-1}. \]

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