Yes, the sequence 13, 20, 27, 34 is indeed an arithmetic sequence.
An arithmetic sequence is defined as a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is known as the common difference.
To find the common difference, we can subtract each term from the term that follows it:
- 20 – 13 = 7
- 27 – 20 = 7
- 34 – 27 = 7
As we can see, the difference between each pair of consecutive terms is consistently 7. Therefore, the common difference is 7.
In summary:
- The sequence is arithmetic.
- The common difference is 7.