Geometric Sequences Worksheet

Geometric Sequences

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. What is the common ratio of the geometric sequence 81, 27, 9, 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.

8. A common ratio can be zero.

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.