Geometric Series Summary, Study Guides, Projects, Research of Mathematics

A short summary on geometric series.

Typology: Study Guides, Projects, Research

2019/2020

Uploaded on 05/20/2020

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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)

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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)