Question
20, 10, 0, -10 is an arithmetic sequence true false
Answers
GPT-4o mini
True.
An arithmetic sequence is defined as a sequence of numbers in which the difference between consecutive terms is constant.
In this case:
- The difference between the first and second terms (20 and 10) is \(10 - 20 = -10\).
- The difference between the second and third terms (10 and 0) is \(0 - 10 = -10\).
- The difference between the third and fourth terms (0 and -10) is \(-10 - 0 = -10\).
Since the difference between all consecutive terms is the same (-10), the sequence 20, 10, 0, -10 is indeed an arithmetic sequence.
An arithmetic sequence is defined as a sequence of numbers in which the difference between consecutive terms is constant.
In this case:
- The difference between the first and second terms (20 and 10) is \(10 - 20 = -10\).
- The difference between the second and third terms (10 and 0) is \(0 - 10 = -10\).
- The difference between the third and fourth terms (0 and -10) is \(-10 - 0 = -10\).
Since the difference between all consecutive terms is the same (-10), the sequence 20, 10, 0, -10 is indeed an arithmetic sequence.