Mastering Arithmetic Sequences: Find the Common Difference

1. A gardener plants a row of flowers. The first flower is planted 2 feet from the start of the row, and each subsequent flower is planted 3 feet apart. What is the distance of the 5th flower from the start?

• 10 feet

• 12 feet

• 16 feet

• 14 feet

2. In a school, the number of students in each grade increases by 4 each year. If there are 20 students in 7th grade this year, how many students will there be in 10th grade three years from now?

• 28

• 24

• 36

• 32

3. A book series has its first book released in 2010. Each subsequent book is released every 2 years. In which year will the 6th book be released?

• 2012

• 2022

• 2018

• 2020

4. A train leaves a station and travels 5 miles every hour. If it started at 0 miles, what will be the total distance traveled after 8 hours?

• 40 miles

• 20 miles

• 50 miles

• 30 miles

5. A basketball player scores 10 points in the first game, 15 points in the second game, and continues to increase his score by 5 points each game. How many points will he score in the 7th game?

• 25

• 30

• 35

• 40

6. A concert ticket price starts at $30 and increases by $5 each year. What will be the price of the ticket in 4 years?

• $50

• $45

• $55

• $40

7. A factory produces 100 toys in the first month and increases production by 20 toys each month. How many toys will be produced in the 6th month?

• 220 toys

• 180 toys

• 200 toys

• 150 toys

8. A runner completes a lap in 2 minutes and reduces his time by 10 seconds each lap. How long will it take him to complete the 5th lap?

• 1 minute and 50 seconds

• 1 minute and 40 seconds

• 2 minutes and 10 seconds

• 1 minute and 20 seconds

9. A savings account starts with $200 and increases by $50 every month. How much money will be in the account after 6 months?

• $400

• $300

• $500

• $600

10. A staircase has steps that are 1 foot apart. If the first step is at 2 feet, what will be the height of the 10th step?

• 12 feet

• 11 feet

• 10 feet

• 9 feet