To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant.
The terms of the sequence are:
- 13
- 20
- 27
- 34
Now, let's find the differences between consecutive terms:
- 20 - 13 = 7
- 27 - 20 = 7
- 34 - 27 = 7
Since the difference between each pair of consecutive terms is the same (7), the sequence is indeed arithmetic.
Thus, the common difference is 7.
The correct response is: yes; 7.