Grade 8 Arithmetic Sequences Word Problems

Grade 8 Arithmetic Sequences Word Problems

Read each word problem carefully and determine the arithmetic sequence. Then, answer the questions that follow. Show all your work.

1. A student saves money for a new bicycle. They start with $20 and add $5 to their savings each week. How much money will they have after 10 weeks?

2. A hot air balloon is descending at a constant rate. Its initial altitude is 1200 feet. After 1 minute, its altitude is 1170 feet. After 2 minutes, its altitude is 1140 feet. What will be the balloon's altitude after 5 minutes? The common difference is   feet. The altitude after 5 minutes will be   feet.

3. A library charges a late fee for overdue books. The first day is $0.50, and each subsequent day adds $0.25. How much is the late fee for a book that is 4 days overdue?

4. A theater has 15 seats in the first row, 18 seats in the second row, 21 seats in the third row, and so on. If there are 12 rows in the theater, how many seats are in the last row?

5. The sequence 2, 4, 8, 16... is an arithmetic sequence.

6. A plant grows 1.5 inches each week. If it was 6 inches tall when planted, how tall will it be after 7 weeks?

7. The first term of an arithmetic sequence is 3, and the common difference is 4. The 5th term of this sequence is  .