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A short summary on geometric series.
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Geometric Series Summary A geometric series, GS is the indicated sum of a geometric sequence, GP. Sn represents the partial sum of the series or the sum of a finite geometric series. Use this formula for divergent sums! Convergence vs. Divergence Convergence or divergence is found by examining the common ratio of the sequence. If |r|<1 then the series converges, or has a sum. If the series is divergent, or does not follow the above test, it is divergent. For convergent infinite sums we can use the formula: Insert in numbers in the top formula for regular sums. Here’s your guide for writing geometric sums in sigma notation (rather, this is an example)