Final answer:
The common difference is 14 and the sum of the sequence is 460.
Step-by-step explanation:
An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant. To find the common difference, we subtract each term from its consecutive term. In this case, the common difference is 14 because 32 - 18 = 14, 46 - 32 = 14, and so on.
To evaluate the sum of the sequence, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. In this case, n = 5 (since there are five terms), a = 18, and d = 14. Plugging these values into the formula, we get Sn = (5/2)(2(18) + (5-1)(14)) = 5(36 + 4(14)) = 5(36 + 56) = 5(92) = 460. Therefore, the sum of the sequence is 460.