Lesson: Sum of an Infinite Geometric Sequence Mathematics

In this lesson, we will learn how to calculate the sum of an infinite geometric sequence.

Lesson Plan

Objectives

Students will be able to

  • understand when a geometric series is convergent and, thus, has a finite sum (i.e., when −1<𝑟<1),
  • find the sum of a convergent infinite geometric sequence using the formula 𝑆=𝑎1−𝑟∞, given sufficient information about the sequence,
  • convert recurring decimals to fractions by finding the sum of a geometric sequence.

Prerequisites

Students should already be familiar with

  • the sum of a finite geometric sequence.

Exclusions

Students will not cover

  • sigma notation,
  • converting decimals algebraically.

Lesson Video

Video Thumbnail
16:44

Lesson Explainer

Sample Question Videos

  • 02:35
  • 03:23
  • 03:15

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