Document Type

Report

Publication Date

5-2026

DOI

https://doi.org/10.34068/2026CIP.Math1080

Abstract

This lesson aims to introduce the concept of an infinite series through geometric representations and partial sums to help students develop an intuitive understanding of convergence. A common misconception students may have when first encountering infinite series is the belief that “a sum of infinitely many things must be infinite”. Through the study of a convergent geometric series, students will investigate how the limit of partial sums can produce a finite value, thereby addressing this misconception and developing a more accurate understanding of infinite series.

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Creative Commons License

https://creativecommons.org/licenses/by-nc-nd/4.0/

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Mathematics Commons

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