Question
Question Classify the following list of numbers as an arithmetic sequence, a geometric sequence, some other sequence, or not a sequence. 9, 4, −1 , −6 , . . . (1 point) Responses geometric sequence geometric sequence arithmetic sequence arithmetic sequence not a sequence not a sequence some other sequence
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GPT-4o mini
The given list of numbers is: 9, 4, -1, -6, ...
To classify this sequence, we can check the differences between consecutive terms.
1st term: 9
2nd term: 4
Difference: 4 - 9 = -5
2nd term: 4
3rd term: -1
Difference: -1 - 4 = -5
3rd term: -1
4th term: -6
Difference: -6 - (-1) = -5
Since the difference between consecutive terms is constant (-5), this is classified as an **arithmetic sequence**.
So the answer is: **arithmetic sequence**.
To classify this sequence, we can check the differences between consecutive terms.
1st term: 9
2nd term: 4
Difference: 4 - 9 = -5
2nd term: 4
3rd term: -1
Difference: -1 - 4 = -5
3rd term: -1
4th term: -6
Difference: -6 - (-1) = -5
Since the difference between consecutive terms is constant (-5), this is classified as an **arithmetic sequence**.
So the answer is: **arithmetic sequence**.