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9.1 - 9.3 Quiz Review

Total questions: 36

Worksheet time: 41mins

Name
Class
Date
1.
Find the sequence; 10.5, 13, 15.5, 18..........
a)
add 2.5
b)
add 2
c)
multiply by 2.5
2.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
3.

256, 128, 64, 32, ...

What's next?

a)

24

b)

18

c)

16

d)

8

4.

-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 (no common difference OR common ratio) neither (no common difference OR common ratio)

5.

How many of these sequences have a common difference of -4?

-19, -15, -11, -7, -3,...

19, 15, 11, 7, 3...

3, 7, 11, 15, 19...

-3, 7, -11, 15, -19,...

a)

0

b)

1

c)

2

d)

3

6.

What number follows 20 in this arithmetic sequence?

8,11, 14, 17, 20

a)

5

b)

23

c)

26

d)

29

7.

Find the missing term in the geometric sequence: 8, 20, 50, 125, _____.

a)

75

b)

200

c)

250

d)

312.5

8.

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

a)

Add 2; 23, 25, 27

b)

Multiply by 2; 38, 76, 152

c)

Add -2; 17, 15, 13

d)

Add 2; 21, 23, 25

9.

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

a)

yes, 2

b)

yes, -2

c)

yes, 4

d)

no

10.

What is the fifth term of the geometric sequence?

5, 15, 45,...

a)

135

b)

1875

c)

1215

d)

405

11.

Find the next four terms of the arithmetic sequence 16, 24, 32,...

a)

40, 48, 56, 64

b)

36, 40, 44, 48

c)

35, 40, 45, 50

d)

40, 44, 50, 56

12.

What are the next four terms of the arithmetic sequence 122, 111, 100, ...?

a)

89, 78, 67, 56

b)

95, 90, 85, 80

c)

92, 88, 84, 80

d)

99, 88, 77, 66

13.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

a)

63

b)

39

c)

69

d)

36

14.

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

a)

823,543

b)

11,529,602

c)

1,647,086

d)

5,764,801

15.

What is the difference between an arithmetic sequence and a geometric sequence?

a)

One is the sum of the numbers and one is just a list of numbers.

b)

One has a common difference and one has a common ratio.

c)

One you can write an nth term and one you cannot.

d)

None of these are correct.

16.
Given an = 3(6)(n-1), what is the common ratio?
a)
3
b)
6
c)
(n-1)
17.
Given
an = 3(2)(n-1),      
what are the first 4 term?
a)
6, 12, 24, 48
b)
3, 6, 12, 24
c)
6, 18, 54, 112
d)
18, 54, 112, 336
18.
Which sequence is represented by the equation 2(7)n-1 ?
a)
7, 14, 28, 56...
b)
2, 14, 98, 686...
c)
2, 9, 16, 23...
d)
7,9,11,13...
19.
Identify the common difference.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
20.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
21.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
22.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
23.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
24.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

25.

What does a1 represent?

a)

Any term

b)

First term

c)

Last term

26.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
27.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

28.
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
29.
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
30.
Find a12 in the sequence -1, -3, -9, -27, ...
a)
-177,147
b)
-19,683
c)
-59,049
d)
118,098
31.

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

32.
The explicit formula is used to find a specific term in a sequence.
a)
True
b)
False
33.
Find the EXPLICIT arithmetic sequence formula for the following data set: 2, 4, 6, 8...
a)
2n
b)
2n - 2
c)
2n + 4
d)
4n
34.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
35.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
36.
Given the sequence:
125, 25, 5, ....
Write the explicit rule:
a)
 y = (125)(5)(x)
b)
 y = 125(1/5)(x)
c)
 y = 625(5)(x)
d)
 y = 125 + 5x

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