Discovering Common Differences in Sequences and Patterns

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 common difference in this sequence?

• 4 feet

• 3 feet

• 5 feet

• 2 feet

If the gardener continues planting flowers, how far from the start will the 10th flower be?

• 10d

• 8d

• 7d

• 9d

A student saves $5 in the first week, $10 in the second week, and $15 in the third week. What is the common difference in the amount saved each week?

• 10

• 15

• 5

• 20

How much will the student have saved by the end of the 8th week?

• Total savings after 8 weeks is half the weekly savings.

• Total savings after 8 weeks is equal to the weekly savings multiplied by 4.

• Total savings after 8 weeks is 8 times the weekly savings.

• Total savings after 8 weeks is the weekly savings divided by 2.

A book series has its first book released in 2010, and a new book is released every 2 years. What is the common difference in the years of release?

• 1

• 5

• 3

• 2

In which year will the 6th book of the series be released?

• 2023

• 2024

• 2026

• 2025

A train leaves a station at 10:00 AM and travels 15 miles every hour. What is the common difference in the distance traveled each hour?

• 45

• 15

• 30

• 0

How far will the train have traveled by 5:00 PM?

• 200 miles

• 120 miles

• 150 miles

• 100 miles

A concert ticket price starts at $20 and increases by $5 each year. What is the common difference in ticket prices?

• $5

• $10

• $7

• $15

What will be the price of the ticket in 4 years?

• The price of the ticket in 4 years will depend on the current price and the rate of increase.

• The ticket will be free in 4 years.

• The price will decrease by 50% in 4 years.

• The ticket price will be fixed for the next 4 years.