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# Geometric Progression

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:

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

Note by Arron Kau
3 years, 2 months ago