Arithmetic Sequences

Question 1

Which table represents an arithmetic sequence?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-14-02-20-01-task/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 =

Revolt · Accepted Answer

-1.4

Question 3

Question 3

Revolt · Accepted Answer

3; 10; 17

Question 4

y =

Revolt · Accepted Answer

10

Question 5

z =

Revolt · Accepted Answer

17

Question 6

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

Revolt · Accepted Answer

an = an–1 + 21

Question 7

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

Revolt · Accepted Answer

-3

Question 8

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 9

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

Revolt · Accepted Answer

✔ 28,000 + (n – 1)800

Question 10

What is the explicit rule for the sequence?

Revolt · Accepted Answer

an = 36 + (n – 1)16

Arithmetic Sequences Answers

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