Mastering Arithmetic Sequences and Series for 8th Grade

1. A gardener plants a row of 5 trees. Each tree is planted 3 feet apart. How far apart are the first and last trees? Identify the arithmetic sequence and calculate the total distance between them.

• 12 feet

• 6 feet

• 9 feet

• 15 feet

2. Sarah saves $10 in the first week, $15 in the second week, and $20 in the third week. If she continues this pattern, how much will she save in the 10th week? What is the common difference in this sequence?

• 70

• 60

• 55

• 45

3. A book club reads 2 books in the first month, 4 books in the second month, and 6 books in the third month. If this pattern continues, how many books will they read in the 12th month?

• 24

• 18

• 12

• 30

4. A car travels 50 miles in the first hour, 60 miles in the second hour, and 70 miles in the third hour. What is the total distance traveled after 5 hours if this pattern continues?

• 250 miles

• 300 miles

• 400 miles

• 350 miles

5. A student scores 70 points on the first test, 75 points on the second test, and 80 points on the third test. If this pattern continues, what will be the score on the 8th test?

• 100

• 95

• 105

• 90

6. A theater sells tickets in a series where the first ticket costs $5, the second ticket costs $10, and the third ticket costs $15. If this pattern continues, how much will the 20th ticket cost?

• $120

• $50

• $100

• $75

7. A factory produces 100 units in the first week, 120 units in the second week, and 140 units in the third week. How many units will it produce in the 10th week?

• 250

• 300

• 320

• 280

8. A runner completes 2 laps in the first week, 4 laps in the second week, and 6 laps in the third week. If this pattern continues, how many laps will the runner complete in the 15th week?

• 20

• 30

• 35

• 25

9. A savings account earns $5 in interest the first month, $10 the second month, and $15 the third month. How much interest will it earn in the 12th month?

• $30

• $45

• $75

• $60

10. A sequence of numbers starts with 3, 6, 9, and continues adding 3 each time. What is the sum of the first 15 terms of this sequence?

• 450

• 180

• 360

• 300