Sequences and Exponential Functions

• r = 2

• r = -2

• r = 1

• r = -1

Find the common ratio of the geometric sequence.

• r = -0.1

• r = -10

• r = 10

• r = 0.1

• Geometric

• Not Geometric

Match the explicit formula with the geometric sequence.

• 0.25, 1, 4, 16, ...

• 4, 16, 64, 256, ...

• 4, 100, 2500, 62500, ...

• 4, 1, 1/4, 1/16, ...

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

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What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

• -2, -6, -18, -54, ...

• -2, 6, -18, 54, ...

• -2, 1, 4, 7, ...

• 2, 6, 18, 54, ...