Arithmetic Sequences Word Problems

Arithmetic Sequences Word Problems

Read each word problem carefully and solve it using your knowledge of arithmetic sequences. Show all your work.

1. A new company's sales increased by $5,000 each month. If their sales in the first month were $10,000, what will their sales be in the 12th month?

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

3. A library charges a fine of $0.50 for the first day a book is overdue and an additional $0.25 for each subsequent day. If a book is 7 days overdue, the total fine will be  .

4. A theater has 20 seats in the first row, 22 in the second, 24 in the third, and so on. How many seats are in the 10th row?

5. A runner trains by increasing their distance by 0.5 km each week. If they ran 5 km in the first week, in which week will they run 10 km?

6. In an arithmetic sequence, the difference between consecutive terms is always constant.