Tell whether the sequence is arithmetic, what's the common diff.
19, 12, 5, -5
No
1/7
7
-7
The sequence is arithmetic.
To find the common difference, we subtract each term from its previous term:
12 - 19 = -7
5 - 12 = -7
-5 - 5 = -10
The common difference is -7.
To determine if the sequence is arithmetic and find the common difference, we need to check if the difference between consecutive terms is constant.
Let's calculate the differences between each pair of consecutive terms:
12 - 19 = -7
5 - 12 = -7
-5 - 5 = -10
The differences are not the same, so the sequence is not arithmetic. There is no common difference.
To determine if a sequence is arithmetic, we need to check if the difference between consecutive terms is constant. Here's how we can do that for the given sequence:
To find the common difference, subtract each term from its following term:
12 - 19 = -7
5 - 12 = -7
-5 - 5 = -10
Since the differences (-7, -7, -10) are not constant, we can conclude that the given sequence is not arithmetic. Therefore, there is no common difference for this sequence.