Geometric Series Exploration
Explore the patterns and properties of geometric series with this engaging worksheet for 6th graders.
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Standards
Topics
Geometric Series Exploration
Name:
Date:
Score:
Read each question carefully and follow the instructions to complete the activities. Show your work where necessary.
1. A geometric series is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common .
2. If the common ratio is greater than 1, the terms of the series will .
3. If the common ratio is between 0 and 1 (a fraction), the terms of the series will .
4. What is the common ratio of the geometric series: 3, 6, 12, 24, ...?
1
2
3
4
5. What is the common ratio of the geometric series: 100, 50, 25, 12.5, ...?
1/4
1/2
2
4
6. Write the next three terms of the geometric series: 2, 8, 32, ...
7. Write the next three terms of the geometric series: 81, 27, 9, ...
8. The sequence 1, 4, 7, 10, ... is a geometric series.
True
False
9. In a geometric series, you add a constant number to get the next term.
True
False
10. A plant grows 2 cm in the first week. Each week after that, it grows twice as much as the previous week. How tall will the plant be after 4 weeks?
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