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Worksheets

Sequences + Series + Movie Quotes

Total questions: 70

Worksheet time: 2hrs 21mins

Name
Class
Date
1.

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

a)

geometric, a5 = 2, an = 2n - 10

b)

geometric, a5 = 0, an = -10n + 2

c)

arithmetic, a5 = 2, an = -10n + 2

d)

arithmetic, a5 = 0, an = 2n - 10

2.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
3.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

4.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
5.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
6.

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 5)

b)

geometric (common ratio r = 5)

c)

neither

7.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
8.
Evaluate the series.
a)
36
b)
85
c)
35
d)
86
9.
Find the sum for the following series. 
a)
44
b)
-162
c)
-682
d)
324
10.
Find the common difference:  a2 = 6 and a6 = -14
a)
-1
b)
-5
c)
-2
d)
2
11.
Find the common ratio (multiplier):  a1 = 4 and a4 = 256
a)
84
b)
64
c)
4
d)
8
12.
What type of series is
32 + 16 + 8 + 4 + 2 + 1
a)
Finite Arithmetic
b)
Finite Geometric
c)
Infinite Arithmetic
d)
Infinite Geometric
13.
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?
a)
1,600
b)
18,235
c)
18,475
d)
19,125
14.
What is the recursive rule for the sequence 
2, 6, 18, 54, ...?
a)
an=2(3)n-1
b)
a1 = 2, an = an-1 + 4
c)
a1 = 2, an = 3an-1
d)
a1 = 3, an = 2an-1
15.

What is the fourth term of the sequence defined by

a1 = 3,

an = an-1 – 7

a)

–1

b)

–6

c)

–18

d)

–10

16.

Evaluate the geometric series described.

3+15+75+375+..., n=6

a)

11,718

b)

9,769

c)

10,603

d)

-3/4

17.

Find the 10th term.

a)

16

b)

21

c)

12

d)

30

18.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
19.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19
20.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
21.

Find the sum of this series.

a)

364

b)

625

c)

240

d)

10000

22.

Find the sum of this geometric series

a)

679

b)

40

c)

359

d)

1275

23.

Whats the difference between series and sequence?

a)

Series is numbers adding to each other, sequences are a list of numbers.

b)

Series is a list of numbers and sequences are numbers adding to each other

c)

Series and sequences are both just a set of numbers.

d)

they are nothing but words :)

24.

What the differences between Arithmetic and geometric?

a)

they do nothing, they are just words :O

b)

Arthemetric is adding while geometric is multipying.

c)

Arithmetic are numbers adding while geometric is dividing.

d)

Arthemetric is mutiplying while geometric is adding

25.

what is the sum of this infinite series?

a)

30

b)

24

c)

54

d)

67

26.

What does the sigma sign look like ?

a)

b)

c)

d)

27.

The nth term of a geometric sequence is given by ...

a)
b)
c)
d)
28.

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

a)

1 , 3 , 6 , 9 , 12

b)

3 , 9 , 27 , 81 , 243

c)

0 , 1 , 3 , 9 , 27

d)

1 , 3 , 9 , 27 , 81

29.

What is the 8th term in the geometric sequence ?

a)

49,152

b)

196,608

c)

12,288

d)

8748

30.

Given the recursive formula for a geometric sequence, find the first five terms and the explicit formula.

a)

2 , 10 , 50 , 250 , 1250

b)

2 , 7 , 12 , 17 , 22

c)

1 , 2, 10, 50, 250

d)
e)
31.

Evaluate.

a)

5461

b)

800

c)

4095

d)

6241

32.
Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....
a)
u1 = 15
un = un-1 + 3
b)
u0 = 15
un = un-1 + 3
c)
u1 = 15
un = un-1 - 3 
d)
u0 = 15
un = un-1 - 3
33.

Which of the following recursive formulas represents the given sequence.


7, 14, 28, 56, 112, ...

a)

a1=7a_1=7 , an=a(n−1)+7a_n=a_{\left(n-1\right)}+7

b)

a1=7a_1=7 , an=a(n−1)⋅7a_n=a_{\left(n-1\right)}\cdot7

c)

a1=7a_1=7 , an=a(n−1)⋅2a_n=a_{\left(n-1\right)}\cdot2

d)

a1=7a_1=7 , an=a(n−1)+14a_n=a_{\left(n-1\right)}+14

34.

Write a recursive formula for the following sequence:

16,8, 4, 2,...

a)

a1=16

an=an-1 (2)

b)

a1=16

an=an-1 (1/2)

c)

a1=16

an=an-1 + (1/2)

d)

a1=16

an=an-1 + (2)

35.
This line will help Daniel with both fighting and detailing cars:  
a)
"Wax on, wax off."
b)
"Karate for defense only."
c)
"What's a matter, you some kind of girl or something? Drive a punch!"
d)
"Breathe in, breathe out."
36.
Complete the following quote:
Toto, I ....
a)
don't think we're in Kansas anymore.
b)
think we've left Kansas.
c)
I think Elvis has left the building.
d)
don't know where we are?
37.
Where is he going?
a)
"To infinity and beyond!"
b)
"To the moon!"
c)
"To Disney World!"
d)
"To NY!"
38.
Complete the following quote:
"Yo Adrian, ...
a)
I did it!
b)
I won!
c)
I'm the champ!
d)
what's for dinner?
39.
Robin Williams loved to wish what country a good morning?
a)
Vietnam
b)
Turky
c)
China
d)
Japan
40.
What happens every time a bell rings?
a)
An angel gets his wings.
b)
The fighters go to their corners.
c)
It's time to go to church.
d)
Dinner's ready.
41.
Fill in the blank:
"Play it again _________."
a)
Sam
b)
Joe
c)
Frank
d)
George
42.
"When life get's you down, you know what you gotta do?"
a)
"Just keep swimming."
b)
"Get back up again."
c)
"Keep on moving."
d)
"Get a pizza."
43.
Complete the following quote:
"Here's ..."
a)
"...Johnny!"
b)
"...my cue!"
c)
"...the door!"
d)
"...Jack!"
44.
If something goes wrong while you are traveling through space, you would probably say: 
a)
"Houston, we have a problem."
b)
"Cape Canaveral, we have a problem."
c)
"I think we have a problem."
d)
"Does anyone have any duct tape?"
45.
What is it that Tom Cruise can't handle?
a)
"You can't handle the truth!"
b)
"You can't handle real combat!"
c)
"You can't handle this court case!"
d)
"You can't handle that car!" 
46.
What is Captain Quint going to need?
a)
"You're gonna need a bigger boat."
b)
"You're gonna need a bigger fishing pole."
c)
"You're gonna need a life jacket." 
d)
"You're gonna need some help."
47.
Complete the following quote:
"Here's ...
a)
...looking at you."
b)
...to us."
c)
...to you."
d)
...to the memories."
48.
"You'll Shoot your eye out."
a)
A Christmas Story
b)
Elf
c)
Die Hard
d)
Scrooged
49.
"Some People Are Worth Melting For"
a)
Little Mermaid
b)
Frozen
c)
Peter Pan
d)
Finding Nemo
50.

Who said, "Life is like a box of chocolates, you never know what you're going to get."

a)

James Bond

b)

Ace Ventura

c)

Danny Zuko

d)

Forrest Gump

51.

"Honey... where is my super suit?!"

a)

Monsters University

b)

Mulan

c)

Frozen

d)

The Incredibles

52.

"There's no crying in baseball!!!"

a)

A League of Their Own

b)

Sandlot

c)

Field of Dreams

d)

The Rookie

53.

"I love Lamp"

is a quote from which film?

a)

Anchorman

b)

Zoolander

c)

Dodgeball

d)

Old School

54.

"Nobody makes me bleed my own blood. Nobody!"

is a quote from which film?

a)

Superbad

b)

Anchorman

c)

Dodgeball

d)

Road Trip

55.

“Nobody puts Baby in a corner.”

Is a quote from which film?

a)

Flashdance

b)

Saturday Night Fever

c)

Footloose

d)

Dirty Dancing

56.

Which actor says this famous line (first), "Show me the money!!"

a)

Martin Short

b)

Tom Cruise

c)

Cuba Gooding Jr

d)

Gene Hackman

57.

What movie is this line from, "Greed, for lack of a better word, is good."

a)

The Godfather

b)

Chinatown

c)

Wall Street

d)

Rocky

58.

"Even miracles take a little time."

a)

Snow White

b)

Aladdin

c)

Cinderella

d)

Sleeping Beauty

e)

Aladdin

59.

"There's magic in the air tonight, and anything can happen."

a)

Tangled

b)

Frozen

c)

Cinderella

d)

The Princess and the Frog

e)

Pinocchio

60.

"Ohana means family. "Family" means nobody gets left behind or forgotten."

a)

The Jungle Book

b)

Lilo and Stitch

c)

The Lion King

d)

Moana

e)

Tarzan

61.

"Listen. For a thousand years, I've only been thinking about keepin' this hair silky, getting my hook, and being awesome, again."

a)

The Little Mermaid

b)

The Incredibles

c)

Tarzan

d)

Hercules

e)

Moana

62.

"They just can't get my nose right!"

a)

Tangled

b)

The Incredibles

c)

Aladdin

d)

Frozen

e)

The Nightmare Before Christmas

63.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
64.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
65.

Evaluate the Arithmetic Series

a)

105

b)

210

c)

100

d)

420

66.
a)

2400

b)

2450

c)

4800

d)

9700

67.

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

a)

25

b)

30

c)

-1

d)

0.8

68.

Determine if the geometric series converges or diverges.

a)

converges

b)

diverges

69.

Determine is the geometric series converges or diverges.

a)

converges

b)

diverges

70.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1

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