Final answer:
The nth term of the arithmetic sequence is 6n + 12.
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. To determine the nth term of an arithmetic sequence, we can use the formula:
an = a1 + (n-1)d
where an represents the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term (a1) is 18 and the second term is 24, so we can substitute these values into the formula:
an = 18 + (n-1)(24-18)
Simplifying the equation gives:
an = 18 + 6(n-1)
We can further simplify this equation to:
an = 6n + 12
Therefore, the nth term of the arithmetic sequence is 6n + 12.