Grade 11 Arithmetic Series Worksheet
This worksheet covers key concepts of arithmetic series for Grade 11 students, including finding the nth term, sum of n terms, and solving related problems.
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Standards
Topics
Arithmetic Series
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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 formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d, where 'd' represents the difference.
3. The sum of the first 'n' terms of an arithmetic series can be found using the formula S_n = n/2 (a_1 + ).
4. Which of the following sequences is an arithmetic sequence?
2, 4, 8, 16, ...
3, 6, 9, 12, ...
1, 1, 2, 3, 5, ...
10, 5, 2.5, 1.25, ...
5. What is the common difference of the arithmetic sequence: 5, 12, 19, 26, ...?
5
7
12
19
6. Find the 10th term of an arithmetic sequence where the first term is 3 and the common difference is 4.
7. The first term of an arithmetic sequence is 7 and the 5th term is 23. Find the common difference.
8. Find the sum of the first 15 terms of the arithmetic series: 2, 5, 8, 11, ...
9. In an arithmetic series, the common difference can be a negative number.
True
False
10. The sum of an arithmetic series will always increase as more terms are added.
True
False
11. An auditorium has 20 rows of seats. The first row has 15 seats, and each subsequent row has 3 more seats than the row before it. How many seats are there in the 20th row? What is the total number of seats in the auditorium?