Arithmetic Sequences

Question 1

Which table represents an arithmetic sequence?

Revolt · Accepted Answer

C: mc001-3.jpg

Question 2

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

Revolt · Accepted Answer

C: an = an–1 + 21

Question 3

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

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

Which did you include in your response?The rule shows that each term is 8 more than the previous term, so the common difference is 8The explicit formula of an arithmetic sequence is the initial term plus (n – 1)d.The explicit rule for this function can be found by substituting 42 for a1 and 8 for d.The explicit rule for the sequence is 42 + (n – 1)8.

Revolt · Accepted Answer

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Question 6

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 7

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 8

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?

Revolt · Accepted Answer

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

Question 9

What is the explicit rule for the arithmetic sequence?

Revolt · Accepted Answer

: 17; : 11

Question 10

A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that.

Revolt · Accepted Answer

:  "17"; : 11

Arithmetic Sequences Answers

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