Arithmetic Sequences

Question 1

Which table represents an arithmetic sequence?

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C: mc001-3.jpg

Question 2

The arithmetic sequence from the previous problem is 8.7, 7.3, 5.9, 4.5, 3.1, . . . . What is the common difference, d, of this sequence?d =

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-1.4

Question 3

What rule can be used to find the next term of the arithmetic sequence?39, 60, 81, 102, 123, . . .

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C: an = an–1 + 21

Question 4

What is the common difference of the arithmetic sequence?d =

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-3

Question 5

Explain how to write the explicit rule for the arithmetic sequence from the given information.

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To write the explicit rule, first determine the common difference and the initial term. Given that each term is 8 more than the previous, the common difference (d) is 8. The initial term (a1) is 42. Using the general explicit formula for an arithmetic sequence, a_n = a1 + (n – 1)d, substitute 42 for a1 and 8 for d to find the rule. The resulting explicit rule for the sequence is a_n = 42 + (n – 1)8.

Question 6

If the pattern continues, what will Ms. Franklin’s salary be in year 10?

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$55,800

Question 7

800 + (n – 1)28,000800 + (n – 1)31,200✔ 28,000 + (n – 1)80031,200 + (n – 1)800

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C: 28,000 + (n – 1)800

Question 8

How could you find the missing value in the table? Check all that apply.

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A: Evaluate the explicit rule for n = 4.; C: Subtract 16 from the fifth term of the sequence.

Question 9

What are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?

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C: 17, 28, 39, 50, . . .

Question 10

What is the common difference of the arithmetic sequence?The common difference is .

Revolt · Accepted Answer

7

Arithmetic Sequences Answers

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