Arithmetic Sequences

Question 1

Which table represents an arithmetic sequence?

Revolt · Accepted Answer

C:

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

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 4

The next term of the arithmetic sequence 39, 60, 81, 102, 123, . . . is .

Revolt · Accepted Answer

144

Question 5

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

Revolt · Accepted Answer

-3

Question 6

What is the first term of the arithmetic sequence?–11✔ –437

Revolt · Accepted Answer

B: ✔ –4

Question 7

The explicit rule for an arithmetic sequence is an = -4 + (n - 1)7.

Revolt · Accepted Answer

What values of x, y, and z complete the table for the arithmetic sequence?x =: 3; y =: 10; z =: 17

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

Which did you include in your response?

Revolt · Accepted Answer

AssessCtrl875435c6-9831-4a01-a7e5-7bf0b0e7b284_1_A,AssessCtrl875435c6-9831-4a01-a7e5-7bf0b0e7b284_1_B,AssessCtrl875435c6-9831-4a01-a7e5-7bf0b0e7b284_1_C,AssessCtrl875435c6-9831-4a01-a7e5-7bf0b0e7b284_1_D

Question 10

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

Arithmetic Sequences Answers

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