Geometric Sequences Worksheet
Explore and understand geometric sequences, common ratios, and term calculation for 7th-grade math.
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Geometric Sequences
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Read each question carefully and follow the instructions to determine the common ratio, find missing terms, or identify geometric sequences.
A geometric sequence 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 ratio.
1. Which of the following is a geometric sequence?
2, 4, 6, 8, ...
3, 6, 12, 24, ...
1, 1, 2, 3, 5, ...
10, 7, 4, 1, ...
2. Find the common ratio for each geometric sequence.
a) 5, 10, 20, 40, ... Common Ratio:
b) 81, 27, 9, 3, ... Common Ratio:
c) 2, -4, 8, -16, ... Common Ratio:
3. Find the next three terms in the geometric sequence: 4, 12, 36, ...
4. The common ratio of a geometric sequence can be zero.
True
False
5. A plant grows 2 cm in the first week, and its growth doubles each week. How tall will it be after 4 weeks?