Quiz about Sequences and Exponential Functions

Question 1

Find the common ratio of the geometric sequence.

$$2, -4, 8, -16, ...$$

Accepted Answer

r = -2

Answer

r = 2

Answer

r = 1

Answer

r = -1

Question 2

Find the common ratio of the geometric sequence.

Accepted Answer

r = 0.1

Answer

r = -0.1

Answer

r = -10

Answer

r = 10

Question 3

Determine if the sequence is geometric or not.

$$5, 15, 45, 135, ...$$

Accepted Answer

Geometric

Answer

Not Geometric

Question 4

Match the explicit formula with the geometric sequence.

Accepted Answer

4, 1, 1/4, 1/16, ...

Answer

0.25, 1, 4, 16, ...

Answer

4, 16, 64, 256, ...

Answer

4, 100, 2500, 62500, ...

Question 5

Question 5.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Match the explicit formula with the geometric sequence.

$$g_n\ =\ -2\cdot3^{n-1}$$

Accepted Answer

-2, -6, -18, -54, ...

Answer

-2, 6, -18, 54, ...

Answer

-2, 1, 4, 7, ...

Answer

2, 6, 18, 54, ...

Question 7

Calculate the 4th term of the sequence. $$g_n=100\cdot0.5^{n-1}$$ (Plug in n = 4 into the formula)

Accepted Answer

12.5

Answer

0.0625

Answer

6.25

Answer

0.125

Question 8

Calculate the 4th term of the sequence.

Accepted Answer

-16

Answer

32

Answer

16

Answer

-32

Question 9

Select the exponential function that matches this geometric sequence.

Accepted Answer

$$f\left(x\right)=3\cdot11^x$$

Answer

$$f\left(x\right)=11\cdot33^x$$

Answer

$$f\left(x\right)=363\cdot11^x$$

Answer

$$f\left(x\right)=11\cdot3^x$$

Question 10

Is the given number a term in both the sequence f (n) = f (n - 1) + 5 and the sequence f (n) = 3 (2) n - 1 , if f (1) = 3? Select which applies

Accepted Answer

48

Answer

8

Answer

18

Answer

24

Sequences and Exponential Functions

20 questions

Find the common ratio of the geometric sequence.

Match the explicit formula with the geometric sequence.

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?

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

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

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Sequences and Exponential Functions

20 questions

Find the common ratio of the geometric sequence.

Match the explicit formula with the geometric sequence.

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?

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

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 = 0Initial value: 3Point on the graph: (2, 6)Growth

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Create the exponential function with the following attributes:
Asymptote: y = 0
Initial value: 3
Point on the graph: (2, 6)
Growth