Mastering Geometric Sequences: Growth and Sums Quiz

A tree grows 2 feet in the first year and then doubles its height each subsequent year. If the tree is 2 feet tall after the first year, what will its height be after 5 years?

• 4 feet

• 16 feet

• 32 feet

• 8 feet

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

• $12,500

• $8,000

• $10,240

• $15,000

A bacteria culture doubles in size every hour. If there is 1 bacterium at the start, how many will there be after 6 hours?

• 32

• 128

• 256

• 64

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

• 1215.51

• 1300.00

• 1100.00

• 1000.00

A video game character earns 50 points in the first level and then earns double the points in each subsequent level. How many points will the character earn after completing 6 levels?

• 600

• 1500

• 3150

• 1200

A company’s profit increases by 10% each year. If the profit was $50,000 last year, what will it be in 2 years?

• $60000

• $55000

• $60500

• $70000

A geometric sequence starts with 3 and has a common ratio of 4. What is the 5th term of the sequence?

• 256

• 1024

• 512

• 768

If a geometric sequence has a first term of 5 and a common ratio of 3, what is the sum of the first 4 terms?

• 250

• 200

• 150

• 120

A cell phone plan costs $30 for the first month and then increases by 10% each month. What will the total cost be after 6 months?

• 200.00

• 180.00

• 150.00

• 231.46

A geometric sequence has a first term of 2 and a common ratio of 5. Calculate the sum of the first 3 terms of this sequence.

• 30

• 62

• 50

• 100