Final answer:
The provided sequence is changing by a common difference of 2, indicating it is an arithmetic sequence where each term increases by 2 from the previous term.
Step-by-step explanation:
The sequence given, 7, 9, 11, 13, is changing by a common difference. To find this common difference, we subtract each term from the following term in the sequence. For instance, the difference between the second term (9) and the first term (7) is 9 - 7 = 2. Similarly, the difference between the third term (11) and the second term (9) is 11 - 9 = 2. Hence, the common difference of this sequence is 2, which indicates that it is an arithmetic sequence.
This can be verified by checking additional terms in the sequence. For instance, the difference between the fourth term (13) and the third term (11) is also 13 - 11 = 2. Therefore, to find subsequent terms of the sequence, one would continually add the common difference of 2 to the previous term.