Lesson Plan: Sum of an Infinite Geometric Sequence Mathematics
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.