Final answer:
The common difference in the arithmetic sequence with a first term of 8 and a second term of 13 is 5, which is option d.
Step-by-step explanation:
The student has asked to determine the common difference in an arithmetic sequence with a first term of 8 and a second term of 13. In an arithmetic sequence, the common difference is found by subtracting the first term from the second term. Therefore, we subtract 8 from 13 to get the common difference.
The calculation would be: 13 - 8 = 5.
So, the common difference is 5, which corresponds to option d.