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How do you know when a geometric series converges?

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Sep 22, 2014

A geometric series $\infty \sum n = 0 a r^{n}$ $sum_{n=0}^inftyar^n$ converges to $\frac{a}{1 - r}$ $a/{1-r}$ if $| r | < 1$ $|r|<1$ .

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