AnswersTN-Algebra II B SC 26-27 For CreditPiecewise Defined Functions

Arithmetic Sequences Answers

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What is the explicit formula for the arithmetic sequence in the table below?n12345an9.27.45.63.82

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Option A
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Option B
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Option C
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Option D
2
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What is the next term in the sequence 58, 47, 36, 25, ...?

A
–58
B
–8
C
14
D
69
3

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.

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Option A
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Option C
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Option D
4

Which is true regarding the sequence below?

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A
The sequence is arithmetic because the common difference is .
Option A
B
The sequence is arithmetic because the common difference is .
Option B
C
The sequence is not arithmetic because there is no common difference. The differences are .
Option C
D
The sequence is not arithmetic because there is no common difference. The differences are .
Option D
5

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

A
–3
B
–4
C
4
D
12
6

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.
7

What is the explicit rule for the arithmetic sequence shown in the graph?

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Option A
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Option B
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Option C
D
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Option D
8

Which of the following is an arithmetic sequence?

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Option A
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Option B
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Option C
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Option D
9

The explicit rule for an arithmetic sequence is . What is the value of the 89th term?

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Option D
10

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, ...

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