Arithmetic Sequences

Question 1

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

Revolt · Accepted Answer

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Question 2

Which is true regarding the sequence below?

Revolt · Accepted Answer

The sequence is not arithmetic because there is no common difference. The differences are .

Question 3

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?

Revolt · Accepted Answer

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Question 4

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

Revolt · Accepted Answer

11

Question 5

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

Revolt · Accepted Answer

The sequence is not arithmetic because the terms do not have a common difference.

Question 6

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

Revolt · Accepted Answer

–4

Question 7

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.

Revolt · Accepted Answer

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Question 8

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

Revolt · Accepted Answer

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Question 9

Which of the following is an arithmetic sequence?

Revolt · Accepted Answer

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Question 10

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

Revolt · Accepted Answer

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Arithmetic Sequences Answers

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