Grade 7 Number Sequences Worksheet
This worksheet focuses on identifying patterns, finding missing terms, and determining rules for various number sequences, including arithmetic and geometric progressions, suitable for Grade 7 math students.
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Grade 7 Number Sequences
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Read each question carefully and follow the instructions. Show your work where applicable.
Complete the following number sequences by identifying the pattern.
1. 3, 6, 9, 12, ,
2. 1, 4, 9, 16, ,
3. 2, 4, 8, 16, ,
4. 50, 45, 40, 35, ,
For each number sequence, describe the rule that generates the next term.
1. 7, 14, 21, 28, ...
2. 100, 50, 25, 12.5, ...
3. -5, -2, 1, 4, ...
1. What is the next term in the sequence: 1.5, 3, 4.5, 6, ...?
7
7.5
8
8.5
2. Which of the following is a geometric sequence?
1, 2, 3, 4
2, 4, 6, 8
3, 6, 12, 24
5, 10, 15, 20
Determine whether each statement is true or false.
1. The sequence 10, 8, 6, 4, ... is an arithmetic sequence.
True
False
2. The common ratio for the sequence 3, 9, 27, 81, ... is 3.
True
False
Consider the sequence: 1, 1, 2, 3, 5, 8, ...
1. What is the name of this famous number sequence?
2. Describe the rule for generating the next term in this sequence.
3. What are the next three terms in the sequence?
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