Grade 8 Number Sequences Worksheet
This worksheet focuses on identifying, extending, and defining rules for various number sequences including arithmetic, geometric, and quadratic sequences appropriate for Grade 8 math.
Includes
Standards
Topics
Grade 8 Number Sequences
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Date:
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. What is the next term in the arithmetic sequence: 5, 12, 19, 26, ...?
31
33
34
35
2. Which of the following is a geometric sequence?
1, 2, 3, 4, ...
2, 4, 8, 16, ...
10, 8, 6, 4, ...
1, 1, 2, 3, ...
3. In an arithmetic sequence, the difference between consecutive terms is called the .
4. In a geometric sequence, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the .
5. Find the next three terms of the sequence: 1, 4, 9, 16, ...
6. Write the rule (nth term) for the arithmetic sequence: 3, 7, 11, 15, ...
7. The sequence 20, 18, 16, 14, ... is an arithmetic sequence.
True
False
8. The sequence 3, 6, 9, 12, ... is a geometric sequence.
True
False
Match the sequence type with its description.
9. Arithmetic Sequence
a. Each term is multiplied by a common ratio.
10. Geometric Sequence
b. Each term has a common difference.
11. Quadratic Sequence
c. Involves squared terms, showing a second common difference.
12. A sequence starts with 2 and has a common difference of 4. What is the 10th term of this sequence? Show your work.
13. The first term of a geometric sequence is 3 and the common ratio is 2. Write the first 5 terms of the sequence.
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