Real-World Applications of Geometric Sequences in Growth

A car's value depreciates by 20% each year. If the car's initial value is $20,000, what will its value be after 3 years?

• $12,000

• $8,000

• $10,240

• $15,360

A bacteria culture doubles in size every hour. If you start with 100 bacteria, how many will there be after 5 hours?

• 3200

• 800

• 6400

• 1500

A bank offers a savings account with an interest rate of 5% compounded annually. If you deposit $1,000, how much will you have after 4 years?

• 1215.51

• 1000.00

• 1100.00

• 1300.00

A video game company sells a new game for $60, and each subsequent month, the price drops by 10%. What will the price be after 6 months?

• $25.00

• $54.00

• $45.00

• $31.89

A tree grows 1.5 times its height every year. If the tree is currently 2 meters tall, how tall will it be after 4 years?

• 12.0 meters

• 10.125 meters

• 5.5 meters

• 8.0 meters

A company plans to increase its production by 15% each year. If the current production is 1,000 units, what will it be in 3 years?

• 1200

• 1521

• 1350

• 1600

A loan of $5,000 is taken out with an interest rate of 8% compounded annually. How much will be owed after 2 years?

• 5832.00

• $4,500.00

• $5,500.00

• $6,000.00

A population of fish in a lake is currently 500 and is expected to increase by 25% each year. What will the population be after 3 years?

• 977

• 850

• 750

• 600

A smartphone's battery life decreases by 10% each year. If the battery lasts 24 hours when new, how long will it last after 2 years?

• 20 hours

• 22 hours

• 18 hours

• 19.44 hours

A subscription service charges $10 for the first month and increases the price by 5% each month. What will the price be after 6 months?

• $14.25

• $11.50

• $13.00

• $12.77