Use the explicit formula an a1 plus (n - 1) and bull d to find the 500th term of the sequence below. 24 30 36 42 48 ...?

The given sequence is an arithmetic sequence where the first term ( a_1 = 24 ) and the common difference ( d = 6 ) (since ( 30 - 24 = 6 )). The explicit formula for the ( n )-th term is ( a_n = a_1 + (n - 1) \cdot d ). To find the 500th term, substitute ( n = 500 ):

[ a_{500} = 24 + (500 - 1) \cdot 6 = 24 + 499 \cdot 6 = 24 + 2994 = 3018. ]

Thus, the 500th term of the sequence is 3018.