ell whether the sequence is arithmetic. If it is, identify the common difference.
negative 9, negative 17, negative 26, negative 33, ellipsis
(1 point)
Responses
Not arithmetic
Not arithmetic
Arithmetic, common difference is 8
Arithmetic, common difference is 8
Arithmetic, common difference is 9
Arithmetic, common difference is 9
Arithmetic, common difference is 7
The sequence is not arithmetic because there is no constant difference between consecutive terms.
To determine whether the given sequence is arithmetic, we need to see if there is a common difference between consecutive terms.
To find the common difference, we can subtract each term from the one that follows it.
Let's check the differences:
-9 - (-17) = 8
-17 - (-26) = 9
-26 - (-33) = 7
The differences are not consistent, so the given sequence is not arithmetic.