Grade 12 Arithmetic Sequences Word Problems
This worksheet focuses on applying the concepts of arithmetic sequences to solve real-world word problems, suitable for Grade 12 students.
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Grade 12 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 high school 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 last row?
2. Sarah is saving money for a new laptop. She starts with $50 in her savings account and adds $15 each week. After 10 weeks, she will have $ . To reach her goal of $500, she needs to save for weeks.
3. A stack of logs has 16 logs in the bottom layer, 15 logs in the second layer, and so on, with one less log in each layer. If there are 7 layers in total, how many logs are in the 5th layer?
10 logs
11 logs
12 logs
13 logs
4. A runner trains by increasing her distance each day. On the first day, she runs 3 km. On the second day, she runs 3.5 km. On the third day, she runs 4 km, and so on. If she continues this pattern, how far will she run on the 15th day?
5. A company's profit increases by $5000 each month. If their profit in the first month was $10,000, their profit in the 6th month will be $35,000.
True
False
6. A construction worker earns $25 for the first hour of work, and his hourly rate increases by $2 for each subsequent hour. If he works for 8 hours, what is his total earnings for the day?
7. A concert hall has 40 rows of seats. The first row has 10 seats, and each row after that has 3 more seats than the previous row. The total number of seats in the first 5 rows is . The total number of seats in the entire concert hall is .