Geometric Sequences & More

“A population of bacteria begins with 2 bacteria on the first day and triples every day”

The scenario represents an exponential ​ (a)   function. The common ratio of the equatin is ​ (b)   .

• 3
• growth
• decay
• 2
• 1

Tags

CCSS.HSF-LE.A.1A

Which formula is the recursive equation for a geometric sequence?

Tags

CCSS.HSF.BF.A.2

“A population of bacteria begins with 2 bacteria on the first day and triples every day”

1. Write a recursive formula for the bacteria growth.

Tags

CCSS.HSF.IF.A.3

“A population of bacteria begins with 2 bacteria on the first day and triples every day”

What is the growth of the bacteria on day 2, day 3, day 4, and day 5?

• 6, 18, 54, 162

• 2, 6, 18, 54

• 3, 6, 12, 24

• 6, 12, 24, 48

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF.BF.A.2

“A population of bacteria begins with 2 bacteria on the first day and triples every day”

1. Create an explicit formula that shows the number of bacteria after “n” days .

Tags

CCSS.HSF.LE.A.2

• 5

• 2.5

• 10

• 1.25

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF.BF.A.2

The table shows an exponential relationship between the number of employees working for a business based on the time, in years, since the founding of the business.

Create an expression that can be used to determine the number of employees working for the business x years since the founding of the business.

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.A.2

b

a

d

c

(1 + 0.04)

3,000

A

0.04

t