Finding nth Terms and Ratios in Geometric Sequences

A plant grows 2 times its height every week. If it is 3 cm tall in the first week, what will its height be in the 5th week?

• 36 cm

• 48 cm

• 24 cm

• 60 cm

A bacteria culture doubles in size every hour. If there are initially 50 bacteria, how many will there be after 6 hours?

• 1600

• 3200

• 800

• 4000

A car's value depreciates by a factor of 0.8 each year. If the car is worth $20,000 now, what will its value be after 3 years?

• $10,240

• $15,000

• $8,000

• $12,500

A savings account earns interest that doubles the amount every year. If you start with $100, how much will you have after 4 years?

• $1600

• $400

• $800

• $200

A video game character earns 150 points in the first level and doubles the points in each subsequent level. How many points will the character earn in the 7th level?

• 2400

• 4800

• 1200

• 9600

A tree grows 1.5 times its height each year. If it is 10 feet tall now, what will its height be in the 4th year?

• 50.625 feet

• 30 feet

• 60 feet

• 40 feet

A company’s profit increases by a factor of 1.25 each quarter. If the profit is $1,000 in the first quarter, what will it be in the 6th quarter?

• 3051.76

• 2500.00

• 4000.00

• 1500.00

A certain type of investment grows by 10% each month. If you invest $500, how much will it be worth after 5 months?

• $750.50

• $805.25

• $600.00

• $1,000.00

A recipe calls for 2 cups of flour, and each time you double the recipe, how much flour will you need for the 4th batch?

• 8 cups

• 4 cups

• 32 cups

• 16 cups

A phone plan costs $30 in the first month and increases by a factor of 1.1 each month. What will the cost be in the 6th month?

• $60.00

• $42.50

• $48.32

• $35.00