The arithmetic sequence given is 3, 9, 15, 21, 27, and so on, with a common difference of 6. To find the term of 99, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 3 and the common difference is 6. We want to find the term with a value of 99, so we substitute these values into the formula:
99 = 3 + (n - 1) * 6
Now, let's solve this equation for n:
99 - 3 = (n - 1) * 6
96 = 6(n - 1)
16 = n - 1
n = 17
Therefore, the 17th term of the given arithmetic sequence is 99.