Question
20, 10, 0, -10 is an arithmetic sequence
Answers
GPT-4o mini
Yes, the sequence 20, 10, 0, -10 is indeed an arithmetic sequence. In an arithmetic sequence, the difference between consecutive terms remains constant.
In this case:
- The difference between the first term (20) and the second term (10) is \(10 - 20 = -10\).
- The difference between the second term (10) and the third term (0) is \(0 - 10 = -10\).
- The difference between the third term (0) and the fourth term (-10) is \(-10 - 0 = -10\).
Since the common difference between the terms is consistently \(-10\), this confirms that the sequence is arithmetic.
In this case:
- The difference between the first term (20) and the second term (10) is \(10 - 20 = -10\).
- The difference between the second term (10) and the third term (0) is \(0 - 10 = -10\).
- The difference between the third term (0) and the fourth term (-10) is \(-10 - 0 = -10\).
Since the common difference between the terms is consistently \(-10\), this confirms that the sequence is arithmetic.