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

some other sequence
some other sequence

arithmetic sequence
arithmetic sequence

not a sequence

Answer 1

To classify the list of numbers (9, 4, -1, -6, ...), let's check the differences between consecutive terms:

• From 9 to 4: 4 - 9 = -5
• From 4 to -1: -1 - 4 = -5
• From -1 to -6: -6 - (-1) = -5

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

So the correct response is:

arithmetic sequence