Final answer:
The common difference of the sequence is 16 and the sum of the sequence is 275.
Step-by-step explanation:
To determine the common difference of the given sequence, we subtract each term from the previous term. The differences are: 39-23 = 16, 55-39 = 16, 71-55 = 16, 87-71 = 16. Therefore, the common difference is 16.
To evaluate the sum of the sequence, we use the formula for the sum of an arithmetic sequence: Sum = (n/2)(2a + (n-1)d), where n is the number of terms, a is the first term, and d is the common difference.
In this case, n = 5, a = 23, and d = 16. Plugging these values into the formula, we get Sum = (5/2)(2(23)+(5-1)(16)) = (5/2)(46+4(16)) = (5/2)(46+64) = (5/2)(110) = 275.
Therefore, the common difference is 16 and the sum of the sequence is 275. So, the answer is A) Common difference = 16, Sum = 275.