Answer:
To find a recursive formula for the arithmetic sequence 18, 12, 6, 2..., we need to determine the pattern and relationship between consecutive terms.
We can observe that each term is obtained by subtracting 6 from the previous term. Let's denote the nth term as a_n. Therefore, the recursive formula for this arithmetic sequence can be expressed as:
a_1 = 18 (the first term)
a_n = a_(n-1) - 6
In other words, to find any term in the sequence, we can subtract 6 from the previous term.
Explanation: