Grade 7 Geometric Series Worksheet

Geometric Series Exploration

Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which of the following sequences is a geometric series?

2. The common ratio of the geometric series 5, 10, 20, 40, ... is  .

3. In a geometric series, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the  .

4. What is the next term in the geometric series: 1, -3, 9, -27, ...?

5. All arithmetic sequences are also geometric sequences.

6. Find the sum of the first 4 terms of the geometric series where the first term is 2 and the common ratio is 3.

7. The diagram below represents the first three terms of a geometric sequence. If the side length of the first square is 1 unit, and the common ratio is 2, what would be the area of the fourth square?