Question

20,10,0,-10 is an arithmetic sequence
True or false

Answer 1

True. An arithmetic sequence is defined by the property that the difference between consecutive terms is constant.

In the sequence 20, 10, 0, -10:

- The difference between 20 and 10 is \(10 - 20 = -10\).
- The difference between 10 and 0 is \(0 - 10 = -10\).
- The difference between 0 and -10 is \(-10 - 0 = -10\).

Since the common difference is \(-10\) between all consecutive terms, this sequence is indeed an arithmetic sequence.