How to find the sum of an infinite geometric series?
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The sum of an infinite geometric series, provided the common ratio r satisfies |r|<1, is calculated using the formula $S_{∞}=a_1−r$, where a is the first term and r is the common ratio. This formula helps in finding the sum of an infinite series when the terms approach zero and the series converges, which is a key concept in both mathematics and real-world applications.
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