Classify the following list of numbers as an arithmetic sequence, a geometric sequence, some other sequence, or not a sequence.

Question

9, 4, −1 , −6 , . . .

(1 point)
Responses

geometric sequence
geometric sequence

not a sequence
not a sequence

arithmetic sequence
arithmetic sequence

some other sequence

Answer 1

To classify the given list of numbers: 9, 4, -1, -6, we can check the differences between consecutive terms to see if it's an arithmetic sequence.

• 4 - 9 = -5
• -1 - 4 = -5
• -6 - (-1) = -5

Since the difference between each pair of consecutive terms is constant (-5), this sequence is classified as an arithmetic sequence.

So, the correct response is:

arithmetic sequence