Grade 7 Arithmetic Series Worksheet

This worksheet focuses on understanding and calculating arithmetic series for 7th-grade students.

Grade 7 Math Sequences and SeriesArithmetic Series

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Includes

Short AnswerFill in the BlanksMultiple ChoiceLong AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.B.3CCSS.MATH.CONTENT.7.NS.A.3

7 sections · Free to use · Printable

Arithmetic 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. What is an arithmetic sequence? Give an example.

2. What is the common difference in the sequence: 3, 7, 11, 15, ...?

3. The next three terms in the arithmetic sequence 2, 8, 14, 20, , , .

4. If the first term of an arithmetic sequence is 5 and the common difference is 4, the 4th term is .

5. Which of the following is an arithmetic sequence?

1, 2, 4, 8

1, 3, 6, 10

2, 5, 8, 11

10, 5, 2, 1

6. Find the sum of the first 5 terms of the arithmetic sequence: 1, 5, 9, 13, 17.

7. An arithmetic sequence has a first term of 2 and a common difference of 3. What is the sum of the first 6 terms?

8. The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d.

True

False

9. An arithmetic series is the sum of the terms of an arithmetic sequence.

True

False