Is the following sequence arithmetic? If so, identify the common difference.

18, 13, 8, 3, . . .

1 answer

Yes, the given sequence is arithmetic.

To find the common difference, we can take the difference between any two consecutive terms.

The difference between 13 and 18 is 18 - 13 = 5.
The difference between 8 and 13 is 13 - 8 = 5.
The difference between 3 and 8 is 8 - 3 = 5.

Since the difference between any two consecutive terms is the same (5), the sequence is arithmetic with a common difference of 5.