Document Type
Report
Publication Date
5-2026
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.
Recommended Citation
Aureliano, Igor Luis and George, Ross, "Course Insight Portfolio: Math 1080, A Gentle Introduction to Infinite Series" (2026). Publications. 20.
https://open.clemson.edu/mathematics_pubs/20