An Introduction to Series

Abstract

This activity introduces the concept of series, with a focus on geometric series, telescoping series, and the harmonic series. It also introduces partial sums and theorems such as the Convergence and Divergence of Geometric Series Theorem, the Terms of a Convergent Series go to Zero Theorem, and the n^th Term Divergence Test.

Level: Undergraduate
Setting: Classroom
Activity Type: Learning Cycle
Discipline: Mathematics
Course: Calculus 2
Keywords: geometric series, telescoping series, harmonic series, limit, infinite series, common ratio, combining convergent series