Tell whether the sequence is arithmetic. If it is, what is the common difference?

19, 12, 5, negative 2
(1 point)
A) No
B) Yes; one-seventh
C) Yes; 7
D) Yes; negative 7

1 answer

To determine if the sequence is arithmetic, we need to check if there is a common difference between consecutive terms.

By subtracting each term from its previous term, we can see if we obtain a consistent difference:
12 - 19 = -7
5 - 12 = -7
-2 - 5 = -7

Since the difference between each successive pair of terms is consistently -7, we can conclude that the sequence is arithmetic.

Therefore, the answer is D) Yes; negative 7.