Algebra Lesson 3-4 Quiz v3

1

Which statement describes the sequence -17, -15, -13, -11, -9, ...?

an arithmetic sequence with common difference -17

an arithmetic sequence with common difference 2

an arithmetic sequence with common difference -2

not an arithmetic sequence

1

Which of the following is an arithmetic sequence with a common difference of -4?

10, 14, 18, 22, 26, ...

-4, -2, 0, 2, 4, ...

1, -\frac{1}{4}, \frac{1}{16}, -\frac{1}{64},\frac{1}{256}

-8, -12, -16, -20, ...

1

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

Stavka koja se može prevući		Odgovarajuća stavka
6, 5\frac{1}{2}, 5, 4\frac{1}{2}, 4, ...		a_{n}=46-2n
44, 42, 40, 38, 36, ...		a_{n}=10-4n
46, 47, 48, 49, 50,...		a_{n}=6-(n-1)(\frac{1}{2})
6, 2, -2, -6, -10, ...		a_{n}=46+(n-1)(1)

1

Which recursive formula matches the sequence 1, 5, 9, 13, ... ?

a_{n}=a_{n-1}+4; a_{1}=5

a_{n}=a_{1}+4; a_{1}=1

a_{n}=1+(n-1)4

a_{n}=a_{n-1}+4; a_{1}=1

Questions 5-7 pertain to the following scenario:

The cost of a using a dryer at a laundrymat is $3.50 for the first 10 minutes plus $0.25 for every additional 5 minutes.

1

Write a recursive formula (in function notation) to describe the total cost, f(m), of turning on the dryer for m minutes.

1

Write an explicit formula (in function notation) for the total cost total cost, f(m), of turning on the dryer for m minutes.

1

For the function you created as an answer to question 6, it doesn't make sense to have just any number for the input m. For example, you can't turn on the machine for just 3 minutes.
Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.

1

You need to buy a power supply unit (PSU) for your new custom gaming PC. You're only looking at very energy efficient models, so the prices start kind of high. After that, prices increase with the amount of power (in Watts) the PSU can supply.
What function describes the sequence of prices, p(w), for different wattages, w?

p(w)=180+\frac{(w-1200)}{100}(30)

p(w)=500+\frac{(w-150)}{100}(30)

p(w)=150+\frac{(w-500)}{100}(30)

p(w)=360+\frac{(w-1200)}{50}(15)

Algebra Lesson 3-4 Quiz v3

Which statement describes the sequence -17, -15, -13, -11, -9, ...?

Which of the following is an arithmetic sequence with a common difference of -4?

Match each sequence with its explicit formula.For every sequence, let the first term be a_{1}.

Which recursive formula matches the sequence 1, 5, 9, 13, ... ?

Write a recursive formula (in function notation) to describe the total cost, f(m), of turning on the dryer for m minutes.

Write an explicit formula (in function notation) for the total cost total cost, f(m), of turning on the dryer for m minutes.

For the function you created as an answer to question 6, it doesn't make sense to have just any number for the input m. For example, you can't turn on the machine for just 3 minutes.Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.

Which statement describes the sequence -17, -15, -13, -11, -9, ...?

Which of the following is an arithmetic sequence with a common difference of -4?

Match each sequence with its explicit formula.For every sequence, let the first term be a_{1}.

Which recursive formula matches the sequence 1, 5, 9, 13, ... ?

Write a recursive formula (in function notation) to describe the total cost, f(m), of turning on the dryer for m minutes.

Write an explicit formula (in function notation) for the total cost total cost, f(m), of turning on the dryer for m minutes.

For the function you created as an answer to question 6, it doesn't make sense to have just any number for the input m. For example, you can't turn on the machine for just 3 minutes.Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

For the function you created as an answer to question 6, it doesn't make sense to have just any number for the input m. For example, you can't turn on the machine for just 3 minutes.
Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.

Match each sequence with its explicit formula.
For every sequence, let the first term be a_{1}.

For the function you created as an answer to question 6, it doesn't make sense to have just any number for the input m. For example, you can't turn on the machine for just 3 minutes.
Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.