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4B Sequences as Functions Practice

Total questions: 40

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Identify the arithmetic sequence:

a)

1, 4, 7, 10, ...

b)

2, 5, 9, 12, ...

c)

2, 5, 8, 11, ...

d)

3, 6, 9, 12, ...

2.

Find the common difference in the sequence: 3, 7, 11, 15, ...

a)

4

b)

12

c)

8

d)

5

3.

What is the 10th term in the arithmetic sequence: 4, 9, 14, 19, ...?

a)

24

b)

36

c)

49

d)

30

4.

If the 5th term in an arithmetic sequence is 23 and the common difference is 4, what is the first term?

a)

15

b)

7

c)

11

d)

19

5.

Is the sequence arithmetic: 2, 4, 8, 16, ...?

a)

No

b)

32

c)

64

d)

Yes

6.

What kind of sequence?

−34, −26, −18, −10, −2, ...

a)

Arithmetic

b)

Geometric

7.

What kind of sequence?

-4, -12, -36, -108,...

a)

arithmetic

b)

geometric

8.

Geometric sequences involve

a)

multiplication

b)

multiplication and addition

c)

addition and subtraction

d)

subtraction and division

9.
An __________ is a pair of numbers used to locate a point on a coordinate plane; the first number tells how far to move horizontally and the second number tells how far to move vertically.
a)
Graph
b)
Relation
c)
Ordered Pair
d)
Mapping
10.
What is another word for constant rate of change?
a)
y -intercept
b)
slope-intercept form
c)
slope
d)
None of the above
11.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
12.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
13.
This equation represents _____________.
a)
an exponential function
b)
the recursive geometric formula
c)
the explicit geometric formula
d)
a linear function
14.

The first three terms of an arithmetic sequence are as follows.


3, -4, -11


Find the next two terms of this sequence

a)

-17 and -25

b)

-18 and -26

c)

-18 and -25

d)

-17 and -26

15.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
16.
Write the explicit rule for the geometric sequence:
2, -12, 72, ...
a)
an = 72(-6)n-1
b)
an = 2(-6)n-1
c)
an = 2(6)n-1
d)
an = 72(-6)n-1
17.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
18.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
19.

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

a)

Linear

b)

Exponential

c)

Quadratic

20.

If a geometric sequence is graphed, which of the following will best model the shape of the graph?

a)

Linear

b)

Exponential

c)

Quadratic

21.
 At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. If 21 child tickets were sold, how many adult tickets were sold?
a)
21
b)
45
c)
15
d)
63
22.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
23.

Is this the graph of an arithmetic or a geometric sequence?

a)

Arithmetic

b)

Geometric

24.

Is this a graph of an arithmetic or a geometric sequence?

a)

Arithmetic

b)

Geometric

25.

Using the function

 f(n)=3n−2f\left(n\right)=3n-2  what is  f(12)f\left(12\right)  ?

a)

34

b)

43

c)

36

d)

27

26.

Use the arithmetic sequence 11, 23, 35, 47,…. What is  f(5)f\left(5\right)  ?

a)

59

b)

60

c)

66

d)

47

27.

Identify the next three terms of the sequence below:

-6, -10, -14,...

a)

-17, -21, -25

b)

17, 21, 25

c)

18, 22, 26

d)

-18, -22, -26

28.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

9,766

b)

9,006

c)

9,765

d)

5,433

29.

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

a)

356

b)

265

c)

5,825

d)

1,329

30.
A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?
a)
13 grams
b)
6.5 grams
c)
1.22 grams
d)
592.31 grams
31.
What is the state capital of New York?
a)
Syracus
b)
New York City
c)
Buffalo
d)
Albany
32.
Albert Einstein was born in what country?
a)
France
b)
United States
c)
Germany
d)
Austria
33.
How many stars are on the American flag?
a)
13
b)
50
c)
76
d)
100
34.

what actor plays spider man in spider man far from home

a)

Mark Gruffalo

b)

Tom Holland

c)

Chris Prat

d)

Chris Evans

e)

me

35.

In this classic video game, a yellow dot goes through a maze eating smaller dots while trying to stay away from ghosts.

a)

Ghostbusters

b)

Pac-Man

c)

Super Mario Brothers

d)

Alien Invader

36.

What is the name of the cartoon with the boy with the "football head"?

a)

Spongebob Squarepants

b)

Jimmy Neutron

c)

Rocket Power

d)

Hey Arnold

37.

What is the name of the popular music festival that takes place in California every year?

a)

Governors Ball

b)

Lollapalooza

c)

Coachella

d)

Bonnaroo

38.

What is the favorite food of the Teenage Mutant Ninja Turtles?

a)

Spaghetti

b)

Lasagna

c)

Macaroni & Cheese

d)

Pizza

39.

Who is the main villain in Avengers: Infinity War and Avengers: End Game?

a)

Loki

b)

Thanos

c)

Nick Fury

d)

Mysterio

40.

Which popular sitcom did Will Smith appear on from 1990 - 1996?

a)

The Fresh Prince of Bel-Air

b)

In Living Color

c)

Saturday Night Live

d)

Full House