Question

# Describe the similarities and differences between arithmetic and geometric sequences.

Solution

Verified
Step 1
1 of 2

Arithmetic and geometric sequences both give lists of numbers that follow a certain pattern. Some sequences can be both arithmetic and geometric such as the sequence 5, 5, 5, ...This sequence is arithmetic since it has a common difference of 0 and also geometric since it has a common ratio of 1.

The difference between an arithmetic sequence and a geometric sequence is that the terms of an arithmetic sequence has a common difference, that is, you are adding the same number each time to find the next term. A geometric sequence has a common ratio, that is, you are multiplying by the same number each time to find the next terms.

## Recommended textbook solutions

#### Mathematics I Common Core Volume 1

ISBN: 9780133234619Allan Bellman, Art Johnson, Basia Hall, Grant Wiggins, Kennedy, Dan, Laurie E. Bass, Randall I. Charles, Sadie Bragg, Stuart J. Murphy, William Handlin
2,341 solutions

#### enVision Algebra 1

1st EditionISBN: 9780328931576 (2 more)Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek
3,246 solutions

#### Big Ideas Math Algebra 1: A Common Core Curriculum

1st EditionISBN: 9781608408382Boswell, Larson
4,740 solutions

#### Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions