Arithmetic Series Worksheet
A Grade 9 math worksheet focusing on understanding and calculating arithmetic series, including finding the nth term and the sum of n terms.
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Standards
Topics
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. An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is .
2. The sum of the terms of an arithmetic sequence is called an arithmetic .
3. The formula for the nth term of an arithmetic sequence is a_n = .
4. The formula for the sum of the first n terms of an arithmetic series is S_n = .
5. Find the 15th term of the arithmetic sequence: 3, 7, 11, 15, ...
6. An arithmetic sequence has a first term of 5 and a common difference of 4. What is the 20th term?
7. Find the sum of the first 10 terms of the arithmetic series: 2, 5, 8, 11, ...
8. Calculate the sum of the first 12 terms of an arithmetic series where the first term is 7 and the last term is 40.
9. Which of the following sequences is an arithmetic sequence?
1, 2, 4, 8, ...
1, 3, 6, 10, ...
10, 8, 6, 4, ...
2, 4, 8, 16, ...
10. What is the common difference of the sequence 2, 7, 12, 17, ...?
2
5
7
12
11. The common difference in an arithmetic sequence can be negative.
True
False
12. The sum of the first 'n' terms of an arithmetic series is always greater than the 'n'th term.
True
False
13. A theater has 20 rows of seats. The first row has 15 seats, the second row has 18 seats, the third row has 21 seats, and so on. How many seats are in the 20th row?
14. A student saves $5 in the first week, $8 in the second week, $11 in the third week, and so on. How much money will the student save in total over 15 weeks?