Word Problems & Graphing in Geometric Sequences

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 4 years?

• 8 feet

• 4 feet

• 10 feet

• 16 feet

Tags

CCSS.HSF.BF.A.2

A bacteria culture starts with 100 bacteria and doubles every hour. How many bacteria will there be after 5 hours?

• 3200

• 1600

• 2400

• 4000

Tags

CCSS.HSF.LE.A.4

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

• $9,600

• $10,000

• $7,680

• $12,000

Tags

CCSS.HSF.BF.A.2

A savings account has an initial deposit of $500 and earns 5% interest compounded annually. How much will be in the account after 4 years?

• $650.00

• $500.00

• $607.75

• $580.25

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 6 levels?

• 1500

• 600

• 1200

• 3150

Tags

CCSS.HSF.BF.A.2

A company’s profit is $1,000 in the first year and increases by a factor of 3 each year. What will the profit be in the 5th year?

• $15,000

• $243,000

• $81,000

• $27,000

Tags

CCSS.HSF.BF.A.2

A geometric sequence starts with 3 and has a common ratio of 4. What is the 6th term of the sequence?

• 1024

• 768

• 3072

• 256

Tags

CCSS.HSF.BF.A.2

A population of fish in a lake is 200 and increases by a factor of 1.5 each year. How many fish will there be after 3 years?

• 300

• 500

• 800

• 675

Tags

CCSS.HSF.BF.A.2

A cell phone plan costs $30 for the first month and then increases by 10% each month. What will the cost be in the 5th month?

• $43.92

• $37.50

• $40.00

• $50.00

Tags

CCSS.HSF.BF.A.2

A geometric sequence has a first term of 5 and a common ratio of 2. Graph the first 5 terms of this sequence and identify the pattern.

• 5, 12, 24, 48, 96

• 5, 15, 30, 60, 120

• 5, 10, 15, 20, 25

• The first 5 terms of the sequence are 5, 10, 20, 40, 80.

Tags

CCSS.HSF.BF.A.2