Grade 8 Geometric Series Worksheet
A comprehensive worksheet for Grade 8 students to practice identifying, analyzing, and solving problems related to geometric series, including finding common ratios and sums.
Includes
Standards
Geometric Series Practice
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following sequences is a geometric series?
2, 4, 6, 8, ...
1, 3, 9, 27, ...
5, 10, 15, 20, ...
10, 8, 6, 4, ...
2. What is the common ratio of the geometric series 3, 6, 12, 24, ...?
2
3
4
6
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. The sum of the first 'n' terms of a geometric series can be found using the formula S_n = a(1 - r^n) / (1 - r), where 'a' is the first term and 'r' is the .
5. Identify if the following sequence is a geometric series. If it is, state the common ratio. If not, explain why: 1, 5, 25, 125, ...
6. Find the next three terms in the geometric series: 81, 27, 9, ...
7. A geometric series always has a positive common ratio.
True
False
8. The terms in a geometric series can decrease in value.
True
False
9. A geometric series has a first term of 4 and a common ratio of 3. Write out the first 5 terms of this series.
10. The first term of a geometric series is 100, and the common ratio is 1/2. What is the 4th term of the series?