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The College Mathematics Journal Volume 55, 2024 - Issue 3
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Proof Without Words

Proof Without Words: An Alternating Geometric Series

Rex H. WuNew York Presbyterian - Lower Manhattan Hospital, New York, NYCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-0970-3741
ORCID Icon
Page 246 | Received 12 Jul 2021, Accepted 24 Feb 2023, Published online: 01 Dec 2023
 
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Summary

We provide a visual proof, using successive partitions of a triangle, that the sum of the alternating geometric series with common ratio −13 is 34.

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