1.
Is the sequence arithmetic or not arithmetic:
20, 17, 14, 11, 8, 5, 2?
A)Arithmetic
B)Not Arithmetic
2.
What is the value of d in the arithmetic sequence below?
67, 48, 29, 10, -9, -28, ...
A)19
B)-19
3.
C)29
D)-29
Suppose the sequence given below is an arithmetic sequence. Find the common
difference for the sequence.
-7, ____, ____, 17, ____, ____, ...
A)24
B)6
4.
C)8
D)-6
Suppose the sequence given below is an arithmetic sequence. What is the value
of a 1 ?
____, ____, 10, ____, -12, ____, ...
A)32
B)44
C)24
D)29
5.
Suppose the value of the 2nd term in an arithmetic sequence is "17", and the value of
the 8th term in the same sequence is "41". What is the value of d?
A)3
B)4
6.
C)5
D)6
In an arithmetic sequence, suppose a11  45 and a27  5 . What is the value of the
common difference in this sequence?
A)-1.5
B)-2
7.
What is the name of the formula which allows one to obtain the value of any term in a
sequence by simply substituting the number of the term you want?
A)recursive formula
B)quadratic formula
8.
9.
C)-2.5
D)-3
C)didactic formula
D)explicit formula
Which of the formulas below allows one to find the explicit formula of an arithmetic
sequence?
A) an  a1  (d  1)  n
C) an  d  (n  1)  a1
B) an  a1  (n  1)  d
D) an  n  (a1  1)  d
Suppose the explicit formula for an arithmetic sequence is an  10n  8 .
What is the value of the 70th term of the arithmetic sequence?
A)68
B)70
C)620
D)692
10.
Suppose the explicit formula for an arithmetic sequence is an  7n .
What is the value of the 1st term of the arithmetic sequence?
A)7
B)-7
11.
C)0
D)-6
Suppose the explicit formula for an arithmetic sequence is an  3n  2 .
What is the position (1st, 2nd, etc.) of the term with a value of 53?
A)16th
B)17th
12.
C)18th
D)20th
Suppose the explicit formula for an arithmetic sequence is an  4n  9 .
What is the position (1st, 2nd, etc.) of the term with a value of -129?
A)30th
B)25th
13.
C)40th
D)35th
What is the explicit formula for the sequence below?
15, 22, 29, 36, 43, 50, ...
A) an  7n  15
C) an  7n  15
B) an  7n  22
D) an  7n  8
14.
What is the explicit formula for the sequence below?
35, 33, 31, 29, 27, 25, ...
A) an  2n  37
C) an  5n  35
B) an  2n  35
15.
D) an  5n  33
What is the explicit formula for the sequence below?
12, 24, 36, 48, 60, 72, ...
A) an  6n  12
C) an  12n
B) an  12n  6
16.
D) an  6n  12
Consider the following finite arithmetic sequence:
3, 7, 11, 15, ... , 127, 131, 135.
How many terms are in the sequence?
A)33
B)34
17.
C)35
D)36
Consider the following finite arithmetic sequence:
180, 165, 150, 135, ... , -135, -150, -165.
How many terms are in the sequence?
A)24
B)25
C)26
D)27
18.
19.
The value of the 5th term in an arithmetic sequence is 100, and the value of the
25th term is 60. Write the explicit formula for this sequence.
A) an  4n  116
C) an  4n  120
B) an  3n
D) an  2n  110
In an arithmetic sequence, a4  3 , and a18  45 .
Write the explicit formula for the sequence.
20.
A) an  3n  9
C) an  3n  6
B) an  3n  6
D) an  3n  9
What is the name for the formula that allows one to find any term in a sequence when
given the previous term?
A)recursive formula
B)quadratic formula
21.
C)didactic formula
D)explicit formula
What is the recursive formula for the sequence below?
11, 16, 21, 26, 31, 36
22.
A) an  an1  5
C) an  an1  11
B) an  11  an1  5
D) an  5  an1  11
Which of the following will always be the recursive formula for an arithmetic sequence?
A) an  an1  n
C) an  an1  d
B) an  a1  an1  n
D) an  a1  an1  d
23.
Find the fifth term of a sequence, given the information below:
a1  19 and an  an1  3
A)14
B)7
C)10
D)4