Geometric Series Worksheet
This worksheet covers key concepts and problems related to geometric series for Grade 11 math students, including finding common ratios, sums, and terms.
Includes
Standards
Geometric Series
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Which of the following sequences is a geometric sequence?
2, 4, 6, 8, ...
3, 6, 12, 24, ...
1, 1, 2, 3, 5, ...
10, 7, 4, 1, ...
2. What is the common ratio (r) of the geometric sequence 5, 10, 20, 40, ...?
2
5
10
1/2
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^( ).
5. Find the 6th term of the geometric sequence where the first term is 3 and the common ratio is 2.
6. A geometric series is the sum of the terms of a geometric sequence.
True
False
7. Find the sum of the first 5 terms of a geometric series where the first term is 4 and the common ratio is 3.