Grade 11: Arithmetic Sequences Word Problems
This worksheet helps students practice solving real-world problems involving arithmetic sequences, including finding specific terms, sums, and common differences.
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Grade 11: Arithmetic Sequences Word Problems
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Read each word problem carefully and solve it using your knowledge of arithmetic sequences. Show all your work.
1. A new theater has 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on. If there are 15 rows in total, how many seats are in the last row?
2. Sarah is saving money for a new laptop. She starts with $50 and adds $15 to her savings each week. How much money will she have after 12 weeks?
3. The first term of an arithmetic sequence is 7, and the common difference is 3. The 10th term of the sequence is .
4. A runner trains for a marathon by increasing their daily running distance by 0.5 km each day. If they run 5 km on the first day, on which day will they run 10 km?
9th day
10th day
11th day
12th day
5. A stack of logs has 15 logs in the bottom layer, 14 in the second layer, and so on, with the top layer having 7 logs. How many layers are there in the stack?
6. An art gallery sells a painting for $5000. Each year, the painting's value is expected to increase by $300. Write an arithmetic sequence that models the value of the painting over time. What will be the value of the painting after 10 years?