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WorksheetsArithmetic Sequences
Total questions: 40
Worksheet time: 10hrs 0mins
Name
Class
Date
1.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
2.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
3.
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
4.
Is the following sequence arithmetic?
15, 21, 27, 36, 42,...
15, 21, 27, 36, 42,...
a)
Yes
b)
No
5.
Find the common difference, if any, in the following sequence.
15, 7, -1, -9, -17,...
15, 7, -1, -9, -17,...
a)
-7
b)
5
c)
-8
d)
There is no common difference.
6.
If a3 = 7 and d= 2.5, find the 6th term.
a)
2
b)
12.5
c)
14.5
d)
22
7.
What is the common difference:
-2, -11, -20, -29...
-2, -11, -20, -29...
a)
Every Number
b)
9
c)
-9
d)
-2
8.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
9.
The next term of the series 11,8,5,2 are
a)
-1
b)
-2
c)
1
d)
2
10.
What is the next term in the series? 15, 35, 55...
a)
55
b)
15
c)
32
d)
75
11.
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
12.
The next two terms of the sequence 12,17,22,27 are
a)
28 and 33
b)
29 and 34
c)
32 and 37
d)
30 and 35
13.
Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...
a)
45, 54, 63
b)
49, 59, 69
c)
39, 49, 59
d)
59, 69, 79
14.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
15.
Each individual number in a sequence of numbers is called what?
a)
Common difference
b)
Successive term
c)
Term
d)
Geometric term
16.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
17.
What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?
a)
76, 70, 64, 58
b)
76, 82, 88, 94
c)
70, 64, 58, 52
d)
82, 88, 94, 100
18.
What is the previous term(y-intercept) for:
-6, 1, 8, 15...
-6, 1, 8, 15...
a)
-13
b)
13
c)
1
d)
-12
19.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
20.
Given the following sequence, find the common difference.
-7, 14, -21, 28, -35
-7, 14, -21, 28, -35
a)
7
b)
2
c)
-2
d)
not an arithmetic sequence
21.
The next two terms of the sequence 8,4,2,1, 1/2 are
a)
1/3 and 1/4
b)
1/4 and 1/8
c)
1/8 and 1/6
d)
1/5 and 1/7
22.
Is the sequence arithmetic: -3, 3, -3, 3, ...
a)
Yes
b)
No
23.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
24.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
25.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
26.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
27.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
28.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
29.
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
30.
Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...
a)
-20, -24, -28
b)
-21, -25, -29
c)
-23, -28, -33
d)
-24, -29, -32
31.
Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...
a)
45, 54, 63
b)
49, 59, 69
c)
39, 49, 59
d)
59, 69, 79
32.
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
33.
What is a list of numbers that often form a pattern?
a)
Term
b)
Successive term
c)
Sequence
d)
Ellipsis
34.
What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?
a)
Common denominator
b)
Common opposites
c)
Common domain
d)
Common difference
35.
What are two terms that immediately follow each other in a sequence?
a)
Successive terms
b)
Success in terms
c)
Terms of success
d)
Term
36.
When the terms of a sequence differ by the same non zero number it is called what kind of sequence?
a)
Algebraic
b)
Tragicomic
c)
Geometric
d)
Arithmetic
37.
What is the common difference? 111, 84, 57,
a)
-17
b)
17
c)
-27
d)
27
38.
Find the common difference for this arithmetic sequence.
3, 10, 17, 24, ...
3, 10, 17, 24, ...
a)
-6
b)
6
c)
7
d)
-7
39.
Each individual number in a sequence of numbers is called what?
Hint: Look in your notes.
Hint: Look in your notes.
a)
Common difference
b)
Successive term
c)
Term
d)
Geometric term
40.
What is the next term in the sequence?
14, 34, 54, 74, 94, ...
Hint: Find the common difference to help you figure out the rule.
14, 34, 54, 74, 94, ...
Hint: Find the common difference to help you figure out the rule.
a)
100
b)
104
c)
114
d)
124
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