Exponential Growth and Decay Quiz

Which of the following is an exponential function?

What is the 5th term of the geometric sequence where the first term is 3 and the common ratio is 2?

• 12

• 24

• 48

• 96

Tags

CCSS.HSF.BF.A.2

A population of bacteria decreases by 20% every hour. If the initial population is 500, what will be the population after 3 hours?

• 256

• 320

• 200

• 128

Tags

CCSS.HSF-LE.A.1C

Find the 10th term of the arithmetic sequence where the first term is 7 and the common difference is 3.

• 27

• 30

• 34

• 37

Tags

CCSS.HSF.BF.A.2

Which of the following represents exponential decay?

Tags

CCSS.HSF-IF.C.8B

Calculate the 4th term of the geometric sequence: 5, 15, 45, ...

• 90

• 135

• 180

• 225

Tags

CCSS.HSF.BF.A.2

A car depreciates in value by 15% each year. If the initial value is $20,000, what will be its value after 2 years?

• $14,450

• $15,300

• $14,450

• $17,000

Tags

CCSS.HSF.BF.A.2

Identify the common ratio in the geometric sequence: 8, 16, 32, 64, ...

• 1

• 2

• 4

• 8

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 5 terms of the arithmetic sequence where the first term is 2 and the common difference is 3?

• 25

• 30

• 35

• 40

Which of the following is a real-world example of exponential growth?

• A car's speed increasing by 10 km/h every hour

• A bank account balance growing by 5% interest annually

• A tree growing 2 feet taller each year

• A book's price increasing by $1 each year