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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.

Grade 7 Math Number SenseNumber Sequences
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.RP.A.2CCSS.MATH.CONTENT.7.EE.B.4.A

Topics

mathgrade 7number sequencespatternsarithmetic progressiongeometric progression
7 sections · Free to use · Printable
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Grade 7 Number Sequences

Name:

Date:

Score:

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, ...?

a

7

b

7.5

c

8

d

8.5

2. Which of the following is a geometric sequence?

a

1, 2, 3, 4

b

2, 4, 6, 8

c

3, 6, 12, 24

d

5, 10, 15, 20

Determine whether each statement is true or false.

1. The sequence 10, 8, 6, 4, ... is an arithmetic sequence.

T

True

F

False

2. The common ratio for the sequence 3, 9, 27, 81, ... is 3.

T

True

F

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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