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Understanding Geometric Series Convergence

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Created November 17, 2025

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Video Transcript

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Geometric Series in Calculus is a way to determine if a series converges or diverges.

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If a series converges you can also find the sum of convergence. In order to detemine if a geometric series

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converges, we have to find the ratio of the series. To find this we

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can take the second term and divide it by the first term. An example would

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be 1 divided by 2 would give a ratio of 1/2. The formula for geometric series

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that are infinite is a divided by 1 - r, a being the first term in the series

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and r being the ratio. The formula for a geometric series that is finite would

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be taking the first term minus the second term and multiply it by r then divide all of that by 1

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