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WorksheetsArithmetic Sequences
Total questions: 13
Worksheet time: 3570secs
Name
Class
Date
1.
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
2.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
3.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
4.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
5.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
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
6.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
7.
Find the first term of the given sequence:
a14=68
d=3
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
8.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
9.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
10.
Given an arithmetic sequence where a32 = 109 and a46 = 193, find a311.
a)
295
b)
-77
c)
1860
d)
1783
11.
What is the sum of the first 10 terms of this sequence?
3, 5, 7, ...
a)
120
b)
175
c)
130
d)
240
12.
What is the sum of the first 12 terms of 7 - 1.5n ?
a)
-33
b)
15
c)
444
d)
-15
13.
Work out:
8 + 12 + 16 + ... + 44
a)
260
b)
280
c)
220
d)
720
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