Geometric Sequence: Formula & Examples


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Which of the following is a geometric sequence?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access


What is the common ratio r in the following geometric sequence?

10, 10/3, 10/9, 10/27, 10/81, ...

2. What is the first term a(1) and the common ratio r of the following geometric sequence?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

The quiz is a series of math problems. The questions will provide you with sets of numbers and then ask you questions about the sets.

Quiz & Worksheet Goals

The test will require that you solve practice problems using these concepts:

  • Geometric sequences
  • Common ratios of sequences
  • First terms
  • Nth terms

Skills Practiced

The quiz will employ the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related geometric sequence lesson
  • Problem solving - use acquired knowledge to solve geometric sequence practice problems to find terms in a sequence
  • Knowledge application- use your knowledge to answer questions about finding the common ratio of a geometric sequence

Additional Learning

Complete the quiz and then go on to the related lesson entitled Geometric Sequences: Formula & Examples to learn more about:

  • Defining geometric sequences
  • Exploring ratios in geometric sequences
  • Characterizing the first term and the nth term of a sequence