# Lesson Plan: Sum of an Infinite Geometric Sequence Mathematics • Second Year of Secondary School

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to calculate the sum of an infinite geometric sequence.

#### Objectives

Students will be able to

- understand when a geometric series is convergent and, thus, has a finite sum (i.e., when ),
- find the sum of a convergent infinite geometric sequence using the formula , 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.