Geometric Sequences Worksheet
Explore and practice identifying, analyzing, and calculating terms in geometric sequences for Grade 9 Math.
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 necessary.
1. Which of the following sequences is a geometric sequence?
2, 4, 6, 8, ...
1, 3, 6, 10, ...
3, 6, 12, 24, ...
10, 8, 6, 4, ...
2. In a geometric sequence, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the .
3. The formula for the nth term of a geometric sequence is given by a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the .
4. Find the common ratio of the geometric sequence: 5, 10, 20, 40, ...
5. What is the 5th term of a geometric sequence where the first term is 3 and the common ratio is 2?
6. Every arithmetic sequence is also a geometric sequence.
True
False
7. A geometric sequence has a first term of 4 and a common ratio of -3. Write the first four terms of this sequence.
8. The third term of a geometric sequence is 18 and the sixth term is 486. Find the common ratio and the first term.