Geometric Sequences Worksheet

Geometric Sequences

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. 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.

5. A plant grows 2 cm in the first week, and its growth doubles each week. How tall will it be after 4 weeks?