Tell wwhether the squence is artithmetic. if it is, what is the common difference?

19, 12, 5, -2

A. no

B. Yes; 1/7

C. Yes; 7

D. yes; -7

1 answer

To determine if the sequence is arithmetic, we need to check if there is a common difference between each term. To do this, we subtract each consecutive term from the previous term:

12 - 19 = -7
5 - 12 = -7
-2 - 5 = -7

As we can see, there is a common difference of -7 between each term. Therefore, the answer is:

D. Yes; -7