Grade 10 Arithmetic Sequences Word Problems

Arithmetic Sequences Word Problems

Read each word problem carefully and solve for the requested value. Show all your work.

1. A high school auditorium has 20 rows of seats. The first row has 15 seats, the second row has 18 seats, the third row has 21 seats, and so on. How many seats are in the 15th 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, Sarah will have $  in her account.

3. A marathon runner trains by increasing her distance by the same amount each day. On the first day, she ran 5 km. On the fifth day, she ran 11 km. What is the common difference in her daily training?

4. A stack of logs has 12 logs in the bottom layer, 11 in the second layer, and so on, with the top layer having 1 log. How many logs are there in total?

5. The sequence 3, 7, 11, 15, ... is an arithmetic sequence with a common difference of 4.