# Chapter 11: Sequences and Series

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

This chapter explores sequences of numbers that follow a particular pattern. You begin by recognizing patterns, describing patterns, and continuing the patterns. Then, you will analyze arithmetic and geometric sequences to determine recursive and general rules for sequences. Finally, you will use formulas and the graphing calculator to find the sums of arithmetic and geometric series.

Chapter Outline

- 11.1.
## Finding the Next Term in a Sequence

- 11.2.
## Describing the Pattern and Writing a Recursive Rule for a Sequence

- 11.3.
## Using and Writing nth Term Rules for Sequences

- 11.4.
## Series and Summation Notation

- 11.5.
## Arithmetic Sequences and Finding the nth Term Given the Common Difference and a Term

- 11.6.
## Finding the nth Term Given Two Terms

- 11.7.
## Finding the Sum of a Finite Arithmetic Series

- 11.8.
## Geometric Sequences and Finding the nth Term Given the Common Ratio and the First Term

- 11.9.
## Finding the nth Term Given the Common Ratio and any Term or Two Terms

- 11.10.
## Finding the Sum of a Finite Geometric Series

- 11.11.
## Partial Sums

- 11.12.
## Finding the Sum of an Infinite Geometric Series

### Chapter Summary

## Summary

This chapter analyzes patterns and arithmetic and geometric sequences and series.

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Description

This chapter covers patterns, sequences, and series of numbers.

Difficulty Level:

At Grade
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Date Created:

Mar 23, 2016
Last Modified:

Jun 09, 2016
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