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Grade 8 Arithmetic Series Worksheet

This worksheet helps Grade 8 students understand and practice arithmetic series, including identifying common differences and finding sums.

Grade 8 Math Sequences and SeriesArithmetic Series
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.4

Topics

mathgrade 8arithmetic seriessequencesseries
7 sections · Free to use · Printable
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Grade 8 Arithmetic Series Practice

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. Which of the following is an arithmetic sequence?

a

2, 4, 8, 16...

b

3, 6, 9, 12...

c

1, 1, 2, 3, 5...

d

1, 4, 9, 16...

2. What is the common difference of the arithmetic sequence: 5, 10, 15, 20...?

a

2

b

5

c

10

d

20

3. An arithmetic series is the   of the terms in an arithmetic sequence.

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

5. Find the next three terms of the arithmetic sequence: 7, 11, 15, 19...

6. Find the 10th term of an arithmetic sequence where the first term is 3 and the common difference is 4.

7. The sequence 1, 3, 5, 7, ... is an arithmetic sequence.

T

True

F

False

8. The sum of an arithmetic series can be found using the formula S_n = n/2 * (a_1 + a_n).

T

True

F

False

9. Find the sum of the first 12 terms of the arithmetic series: 2, 5, 8, 11...

10. An auditorium has 20 rows of seats. The first row has 15 seats, and each subsequent row has 2 more seats than the row in front of it. How many seats are in the 20th row? What is the total number of seats in the auditorium?