Real-Life Sequences: Arithmetic & Geometric Challenges

A gardener plants a row of 5 trees. Each tree is spaced 3 feet apart. If the first tree is planted at the 0-foot mark, what is the position of the 10th tree?

• 27 feet

• 24 feet

• 30 feet

• 33 feet

A car's value depreciates by $1,500 each year. If the car is currently worth $12,000, what will its value be after 4 years?

• $10,000

• $8,500

• $4,500

• $6,000

A sequence of numbers starts with 2 and each term is multiplied by 3 to get the next term. What is the 5th term in this geometric sequence?

• 81

• 162

• 54

• 243

A student saves $20 in the first week and increases her savings by $5 each subsequent week. How much will she have saved after 8 weeks?

• 250

• 180

• 320

• 300

A company’s profit doubles every year. If the profit in the first year is $1,000, what will the profit be in the 4th year?

• $16,000

• $8,000

• $4,000

• $2,000

A staircase has 10 steps, and each step is 6 inches high. If the first step is at ground level, how high is the 10th step?

• 12 inches

• 90 inches

• 30 inches

• 60 inches

A book series has 5 books, and each book has 50 more pages than the previous one. How many pages does the 4th book have if the first book has 200 pages?

• 450

• 350

• 400

• 300

A population of rabbits doubles every month. If there are 10 rabbits at the start, how many will there be after 3 months?

• 100

• 40

• 80

• 20

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

• 200

• 220

• 150

• 180

A person runs 2 miles on the first day and increases the distance by 0.5 miles each day. How far will they run on the 10th day?

• 5 miles

• 6.5 miles

• 7 miles

• 8 miles