# Arithmetic and Geometric Sequences

Examples, videos, and solutions to help Algebra I students learn the structure of arithmetic and geometric sequences.

### New York State Common Core Math Algebra I, Module 3, Lesson 3

Worksheets for Algebra 1

Lesson 3 Summary

Two types of sequences were studied:

Arithmetic Sequence: A sequence is called arithmetic if there is a real number d such that each term in the sequence is the sum of the previous term and d.

Geometric Sequence: A sequence is called geometric if there is a real number r such that each term in the sequence is a product of the previous term and r.

In this lesson, students review the basic concept of an arithmetic sequence before then extending these ideas to geometric sequences. A variety of application problems are emphasized.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.