Geometric Sequences Worksheet
A Grade 10 math worksheet focusing on understanding, identifying, and working with geometric sequences.
Includes
Standards
Topics
Geometric Sequences
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Read each question carefully and answer to the best of your ability. Show all your work where space is provided.
1. Which of the following sequences is a geometric sequence?
2, 4, 6, 8, ...
1, 3, 5, 7, ...
3, 6, 12, 24, ...
5, 10, 15, 20, ...
2. What is the common ratio of the geometric sequence 81, 27, 9, 3, ...?
3
1/3
-3
-1/3
3. In a geometric sequence, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the .
4. The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the number.
5. Find the 7th term of the geometric sequence 2, 6, 18, ...
6. A ball is dropped from a height of 20 feet. On each bounce, it rises to 80% of its previous height. How high will the ball rise after its 3rd bounce?
7. The sequence 1, -2, 4, -8, ... is a geometric sequence.
True
False
8. A common ratio can be zero.
True
False
9. The first term of a geometric sequence is 5 and the common ratio is 2. Write the first 5 terms of the sequence.
10. If the 3rd term of a geometric sequence is 36 and the 5th term is 324, find the common ratio and the first term.