Algebra Lesson 3-4 Quiz v2 - Sam Schneider | Biblioteka

1

Which statement describes the sequence -1, 0, -1, -1, -2, -3, -5, -8, ... ?

an arithmetic sequence with common difference 1

an arithmetic sequence with common difference 2

an arithmetic sequence with common difference -1

not an arithmetic sequence

1

Which of the following is an arithmetic sequence with a common difference of 5?

\frac{1}{5}, \frac{1}{25}, \frac{1}{125}, \frac{1}{625}, ...

-9, -14, -19, -24, ...

0, 5, 10, 15, 20, 25, ...

5, -3, 5, -3, 5, ...

1

Match each sequence with its recursive formula.

Stavka koja se može prevući		Odgovarajuća stavka
6, 2, -2, -6, -10, ...		a_{n}=a_{n-1}+3; a_{1}=6
6, 9, 12, 15, 18, ...		a_{n}=a_{n-1}-2; a_{1}=44
44, 33, 22, 11, 0, -11, ...		a_{n}=a_{n-1}-4; a_{1}=6
44, 42, 40, 38, 36, ...		a_{n}=a_{n-1}-11; a_{1}=44

1

Which explicit formula matches the sequence 66, 57, 48, 39, ...?

f(n)=66-(n-1)9

f(n)=f(n-1)-9; f(1)= 66

f(n)=57+9n

f(n)=57-(n-1)9

Questions 5-7 pertain to the following scenario:

The cost of being able to play a single video game on the new "GameLocation 5" console is $600. That cost is comprised of $80 for the game and $520 for the console itself.

1

Write a recursive formula (in sequence notation) to describe the total cost g_{n} of buying all the things needed to be able to play n different games at home.

1

Write an explicit formula (in function notation) for the total cost of being able to play n games.

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 n. For example, it wouldn't work to use this function to determine how much money you would spend (or get) trying to be able to play -4 games at home.
Describe the domain of the function, i.e., the set of all possible (meaningful) inputs.

1

Mr. Schneider needs to rent construction scaffolding. The daily rental cost is a function of how much equiupment he needs. Which function matches the table?

f(x)=75x

f(x)=175+75x

f(x) = 250+75x

f(x) = 325 +75x