Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

4.17.0 Lesson Overview

Algebra 14.17.0 Lesson Overview
Search for key terms or text.

In this lesson, you will use your knowledge about arithmetic and geometric sequences to learn how to use recursive definitions to generate sequences.

When you finish this lesson, you will be able to:

  • Define arithmetic and geometric sequences recursively using function notation.
  • Represent a sequence in different ways.
  • Ask questions to get the information needed to represent a sequence in different ways.

Here are the activities that will help you reach those goals:

  • 4.17.1: Define a Sequence
  • 4.17.2: What Is a Recursive Definition?
    • 4.17.2: Self Check
    • 4.17.2: Additional Resources
  • 4.17.3: Ways to Represent a Sequence
    • 4.17.3 Self Check
    • 4.17.3: Additional Resources
  • 4.17.4: Geometric Recursive Definitions
PreviousNext
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.