Geometric Sequences Worksheet

Geometric Sequences Practice

Read each question carefully and follow the instructions to complete the geometric sequence exercises.

For each geometric sequence, identify the common ratio.

1. 2, 4, 8, 16, ... Common Ratio:  

2. 3, 9, 27, 81, ... Common Ratio:  

3. 100, 50, 25, 12.5, ... Common Ratio:  

4. 5, 15, 45, 135, ... Common Ratio:  

Find the next three terms in each geometric sequence.

5. 1, 3, 9,  ,  ,  

6. 64, 32, 16,  ,  ,  

7. 2, 10, 50,  ,  ,  

8. Which of the following is a geometric sequence?

9. What is the common ratio of the sequence 4, 12, 36, 108, ...?

Determine if each statement is True or False.

10. In a geometric sequence, each term is found by adding a constant number to the previous term.

11. The sequence 1, 5, 25, 125, ... has a common ratio of 5.

Solve the following word problems.

12. A plant doubles its height every week. If it starts at 3 cm tall, how tall will it be after 4 weeks?

13. A bacteria population triples every hour. If there are initially 5 bacteria, how many will there be after 3 hours?

14. Look at the pattern below. If the pattern continues, draw the next two figures in the sequence.