Tell whether the sequence is arithmetic. If it is, what is the common difference?
14, 8, 2, -4, ...
(1 point)
Responses
Yes, -6
Yes, -6
Not arithmetic
Not arithmetic
Yes, 1/6
Yes, 1/6
Yes, 6
Not arithmetic
To determine if a sequence is arithmetic, we need to check if there is a constant difference between consecutive terms. In this case, let's look at the differences between the terms:
8 - 14 = -6
2 - 8 = -6
-4 - 2 = -6
As we can see, the differences between the terms are all -6. Therefore, the sequence is arithmetic with a common difference of -6.