Tell whether the sequence is arithmetic. If it is, what is the common difference?
–19, –11, –3, 5, . . .
(1 point)
yes; 5
yes; 6
yes; 8
no
yes; 8
To determine whether the given sequence is arithmetic, we need to check if there is a common difference between consecutive terms in the sequence.
The first term is -19.
The second term is -11.
The third term is -3.
The fourth term is 5.
To find the common difference, we calculate the difference between consecutive terms:
-11 - (-19) = 8
-3 - (-11) = 8
5 - (-3) = 8
The difference between each consecutive term is 8. Since the common difference is constant, this sequence is arithmetic.
Therefore, the correct answer is:
yes; 8