Geometric Sequences Worksheet
Explore geometric sequences by identifying patterns, finding missing terms, and applying rules at a 6th-grade level.
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Geometric Sequences Practice
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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?
2, 4, 6, 8
1, 2, 4, 8
10, 8, 6, 4
3, 6, 9, 12
9. What is the common ratio of the sequence 4, 12, 36, 108, ...?
2
3
4
6
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.
True
False
11. The sequence 1, 5, 25, 125, ... has a common ratio of 5.
True
False
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.
