Education Technology

Summing Up Geometric Series

Subject Area
Math: Calculus: Series and Taylor Polynomials
Math: IB: Analysis-Approaches
Math: IB: Applications-Interpretations
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons

Summing Up Geometric Series

Activity Overview

In this activity, students will explore infinite geometric series and the partial sums of geometric series. The students will determine the limits of these sequences and series using tables and graphs.

Objectives

  • Students will understand how to graph an infinite geometric series and how to analyze the graph.
  • Students will understand and justify the sum of an infinite geometric series.
  • Students will be able to explain why the sum of an infinite geometric series is a finite number if and only if < 1.
  • Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.

About the Lesson

In this activity, students will explore the concept of finding the sum of an infinite geometric series. Reviewing the concepts of when you can find the sum of an infinite geometric series will be the first task, discussing with your classmates not only what the characteristics of a geometric sequence are, but also the key characteristic that allows you to add every term of the infinite sequence and still get a non-infinite sum.

*Note: This activity includes optional IB support, including the IB Questions download for students who are preparing for the IB Exam. 

 

Subject Area
Math: Calculus: Series and Taylor Polynomials
Math: IB: Analysis-Approaches
Math: IB: Applications-Interpretations
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons
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