Arithmetic Sequences Answers

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1
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Which of the following is an arithmetic sequence?

A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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Which of the following is an arithmetic sequence?

A
–20, –25, –30, –35, –45, ...
B
–15.6, –12.9, –10.2, –7.5, –4.8, ...
C
3.1, 6.2, 12.4, 24.8, 49.6, ...
D
7.2, 3.6, 1.8, 0.9, 0.45, ...
3

Which of the following is true regarding the sequence graphed below?

Question illustration
A
The sequence is arithmetic because the terms have a common difference.
B
The sequence is arithmetic because the terms do not have a common difference.
C
The sequence is not arithmetic because the terms have a common difference.
D
The sequence is not arithmetic because the terms do not have a common difference.
4

What is the common difference in the following arithmetic sequence? nan1–122–1310421

A
–11
B
–1
C
1
D
11
5

What is the next term in the sequence 58, 47, 36, 25, ...?

A
–58
B
–8
C
14
D
69
6

What is the common difference of the arithmetic sequence graphed below?

Question illustration
A
mc006-2.jpg
Option A
B
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Option B
C
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Option C
D
mc006-5.jpg
Option D
7

What is the common difference in the following arithmetic sequence? 7, 3, –1, –5, ....

A
–3
B
–4
C
4
D
12
8

The relationship between men’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A men’s size 9 fits a foot 10.31 inches long, and a men’s size 13 fits a foot 11.71 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

A
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Option A
B
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Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
9

The second term of an arithmetic sequence is –39. The rule can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
10

Which of the following is true about the sequence graphed below?

Question illustration
A
The sequence is arithmetic because the terms have a common difference.
B
The sequence is arithmetic because the terms do not have a common difference.
C
The sequence is not arithmetic because the terms have a common difference.
D
The sequence is not arithmetic because the terms do not have a common difference.

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