WorksheetsArithmetic and Geometric Sequences and Series Review
Total questions: 28
Worksheet time: 5hrs 54mins
Name
Class
Date
1.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
2.
Create the formula for the sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
3.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
4.
Identify the common difference.
-21, -18, -15, -12, ...
-21, -18, -15, -12, ...
a)
4
b)
3
c)
-4
d)
-3
5.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
6.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
7.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
8.
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
9.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
10.
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
11.
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
12.
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
13.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
14.
The next two terms of the sequence 12,17,22,27 are
a)
28 and 33
b)
29 and 34
c)
27 and 32
d)
30 and 35
15.
The pattern followed by the sequence 3,6,9,12 is...
a)
Multiple of 3
b)
prime no.s
c)
odd no.s
d)
multiple of 6
16.
The next term of the series 4,16,64 is
a)
256
b)
132
c)
120
d)
150
17.
The next term of the series 11,8,5,2 are
a)
-1
b)
-2
c)
1
d)
2
18.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
19.
Is the sequence geometric or arithmetic?
6, 18, 54...
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
20.
What is the common ratio for the sequence:
3, 15, 75...
3, 15, 75...
a)
12
b)
1/5
c)
5
21.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
22.
What is the common difference of this sequence?
a)
4
b)
3
c)
7
d)
1
23.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
24.
Which formula is used to find the explicit equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
25.
Which formula is used to find the recursive equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
26.
Which formula is used to find the explicit equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
27.
Which formula is used to find the recursive equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
28.
What is the explicit formula the following arithmetic sequence?
a)
3(2)n-1
b)
2(3)n-1
c)
3 + 3n
d)
3n
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