Arithmetic Sequences

Question 1

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

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14

Question 2

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?

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Question 3

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

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Question 4

Which is true regarding the sequence below?

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

Question 5

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

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Question 6

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

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–4

Question 7

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

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Question 8

Which of the following is an arithmetic sequence?

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–15.6, –12.9, –10.2, –7.5, –4.8, ...

Question 9

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

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Question 10

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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Arithmetic Sequences Answers

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