Identifying Common Differences in Arithmetic Sequences

1. A gardener plants a row of flowers. The first flower is planted 2 feet from the start, and each subsequent flower is planted 3 feet apart. If the gardener plants 10 flowers, how far is the last flower from the start?

• 20 feet

• 29 feet

• 32 feet

• 25 feet

2. Sarah saves $5 in the first week, $10 in the second week, and continues to save $5 more each week. How much will she have saved after 8 weeks?

• 120

• 150

• 200

• 180

3. A book club reads 2 chapters in the first week, 4 chapters in the second week, and increases the number of chapters read by 2 each week. How many chapters will they read in the fifth week?

• 6

• 10

• 8

• 12

4. A train leaves the station at 10:00 AM and travels 15 miles every hour. If it continues this pattern, how far will it have traveled by 1:00 PM?

• 30 miles

• 45 miles

• 75 miles

• 60 miles

5. In a school, the number of students in the first grade is 20, and each subsequent grade has 5 more students than the previous one. How many students are there in the fourth grade?

• 25

• 35

• 30

• 40

6. A factory produces 100 toys in the first month, 120 toys in the second month, and increases production by 20 toys each month. How many toys will be produced in the fifth month?

• 180

• 150

• 200

• 160

7. A basketball player scores 8 points in the first game, 12 points in the second game, and increases his score by 4 points each game. How many points will he score in the sixth game?

• 24

• 28

• 20

• 32

8. A concert starts with 50 attendees and increases by 10 attendees each hour. How many attendees will there be after 5 hours?

• 90

• 100

• 110

• 120

9. A runner completes 2 laps in the first week, 4 laps in the second week, and increases the number of laps by 2 each week. How many laps will he complete in the fourth week?

• 8 laps

• 12 laps

• 10 laps

• 6 laps

10. A savings account starts with $100 and increases by $25 each month. How much will be in the account after 6 months?

• 250

• 150

• 300

• 200