Arithmetic Sequences

Question 1

Which table represents an arithmetic sequence?

Revolt · Accepted Answer

C:

Question 2

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 3

What is the common difference of the arithmetic sequence?d = ⇒ 7

Revolt · Accepted Answer

-3

Question 4

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

Revolt · Accepted Answer

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 5

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

Revolt · Accepted Answer

C: 28,000 + (n – 1)800

Question 6

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

Revolt · Accepted Answer

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

Question 7

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?17, 11, 11, 11, . . .17, 11, 22, 33, . . .✔ 17, 28, 39, 50, . . .17, 34, 51, 68, . . .

Revolt · Accepted Answer

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

Question 8

Question 8

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PENDING

Question 9

What is the explicit rule for the arithmetic sequence?

Revolt · Accepted Answer

C: ; B:

Question 10

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 =

Revolt · Accepted Answer

-1.4

Arithmetic Sequences Answers

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