WorksheetsArithmetic Sequences
Total questions: 14
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
2.
Is the sequence arithmetic?
17, 9, 1, -7, ...
a)
Yes
b)
No
3.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
4.
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
5.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
6.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
7.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
8.
Find a20 in the arithmetic sequence: 5, 12, 19, 26...
a)
145
b)
144
c)
142
d)
138
9.
Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...
82, 76, 70, 64, ...
a)
a1=82; an = an-1-6
b)
a1=64; an = an-1-6
c)
a1=82; an = an-1+6
d)
a1=64; an = an-1+6
10.
Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...
-49, -35, -21, -7, ...
a)
a1=-49; an = an-1 + 10
b)
a1=-7; an = an-1 + 14
c)
a1=-49; an = an-1 + 14
d)
a1= -49; an = an-1 -14
11.
A sequence is shown below:
2, 5, 8, 11, ...
Which explicit formula can be used to model the sequence?
a)
an = 3 - 11(n - 1)
b)
an = 2 + 3(n - 1)
c)
an = 11 - 3(n - 1)
d)
an = 3 + 2(n - 1)
12.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
13.
Write the formula for the following sequence
3,8,13,18...
3,8,13,18...
a)
5+3(n-1)
b)
3+5(n-1)
14.
Select the explicit rule that represents the sequence.
a)
an = 6 + 5(n - 1)
b)
an = 4 + 6(n - 1)
c)
an = 6 - 4(n - 1)
100 %
