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Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625

Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625
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Does the following infinite series converge or diverge 1/5+1/25+1/125+1/625

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User Joshua Comeau
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1 Answer

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Yes because this is geometric series and the common ratio is 1/5, which is smaller than 1 therefore it converges.

In general, if common ratio is in between -1 and 1 exclusive, then it converges.
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User Oscar Gallardo
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