Geometric Sequences: Find nth Term & Explicit Formulas

A bacteria culture doubles in size every hour. If the initial size is 100 bacteria, what will be the size after 5 hours? Find the 5th term of the sequence.

• 1600

• 4000

• 2400

• 3200

Tags

CCSS.HSF.BF.A.2

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? Write the explicit formula for the car's value over time.

• $8,000

• $15,000

• $12,500

• $10,240

Tags

CCSS.HSF.BF.A.2

A tree grows 1.5 times its height each year. If the tree is 2 meters tall now, what will its height be after 4 years? Find the 4th term of the sequence.

• 10.125

• 6.0

• 12.75

• 8.5

Tags

CCSS.HSF.BF.A.2

A video game character gains experience points in a geometric sequence, starting with 50 points and multiplying by 3 each level. What is the experience points at level 4? Find the 4th term of the sequence.

• 1350

• 900

• 1800

• 1200

Tags

CCSS.HSF.BF.A.2

A company’s profit increases by a factor of 1.2 each year. If the profit in the first year is $10,000, what will it be in the 5th year? Write the explicit formula for the profit over the years.

• 20736

• 18000

• 25000

• 15000

Tags

CCSS.HSF.BF.A.2

A population of fish in a lake triples every year. If there are initially 200 fish, how many will there be after 3 years? Find the 3rd term of the sequence.

• 1800

• 6000

• 5400

• 1200

Tags

CCSS.HSF.BF.A.2

A smartphone's battery life decreases to 80% of its previous life every month. If the initial battery life is 10 hours, what will it be after 2 months? Write the explicit formula for the battery life.

• 8 hours

• 5 hours

• 7.2 hours

• 6.4 hours

Tags

CCSS.HSF.BF.A.2

A plant grows 2 times its height every month. If it starts at 5 cm, what will its height be after 6 months? Find the 6th term of the sequence.

• 80 cm

• 10 cm

• 320 cm

• 160 cm

Tags

CCSS.HSF.BF.A.2

A loan amount increases by 10% each year due to interest. If the initial loan is $5,000, what will the amount be after 4 years? Write the explicit formula for the loan amount over time.

• 6000.00

• 7320.50

• 8000.00

• 5000.00

Tags

CCSS.HSF.BF.A.2