Question

Which of the sequences is an arithmetic sequence?

Answer 1

Answer:

B. -3, -10, -17, -24, -31

Step-by-step explanation:

An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.

A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.

C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.

D is incorrect as the numbers jump from positive to negative, thus not having a common difference.

Hope this helps!

Answer 2

Answer: “B”

Step-by-step explanation: An arithmetic sequence is a pattern where the same number is repeatedly added or subtracted. “B” would be the correct answer because each time, we have a common difference of -7 because we subtract 7 each time to get to our next term. We could also write this in recursive description as followed.

Starting at -3, subtract 7 to get to the next term.