Real-World Applications of Geometric Sequences for 8th Grade

A bacteria culture doubles in size every hour. If the initial amount is 500 bacteria, how many will there be after 5 hours?

• 1000

• 8000

• 32000

• 16000

A car's value depreciates by 20% each year. If the car is worth $15,000 now, what will its value be after 3 years?

• $10,000

• $5,000

• $12,000

• $7,680

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

• 5.0 meters

• 12.0 meters

• 8.0 meters

• 10.125 meters

A savings account earns interest at a rate of 5% compounded annually. If you start with $1,000, how much will you have after 3 years?

• 1200.00

• 1305.25

• 1157.63

• 1100.50

A video game character gains experience points in a geometric sequence: 100, 200, 400, ... If this pattern continues, how many points will the character have after 6 levels?

• 2500

• 6000

• 5100

• 4000

A company’s profits are increasing by a factor of 3 each year. If the profit in the first year is $10,000, what will the profit be in the fourth year?

• $120,000

• $270,000

• $150,000

• $90,000

A population of fish in a lake triples every year. If there are currently 200 fish, how many will there be after 2 years?

• 600

• 1200

• 1800

• 400

A cell phone plan offers a discount that decreases by 10% each month. If the initial discount is $50, what will the discount be after 4 months?

• $40.00

• $45.00

• $25.00

• $32.81

A geometric sequence starts with 5 and has a common ratio of 2. What is the 6th term of this sequence?

• 160

• 40

• 320

• 80

A construction project’s cost increases by 15% each year. If the initial cost is $200,000, what will the cost be after 2 years?

• $230,000

• $264,500

• $250,000

• $300,000