Answer:
a(n) = 3 - 2(n - 1)
Step-by-step explanation:
In the sequence 3, 1, -1, -3, each new term is found by subtracting 2 from the previous term. For example: -1 came from subtracting 2 from +1.
The first term is 3 and the common difference is 2.
The general arithmetic sequence formula is a(n) = a(1) + 2(n - 1).
In this case:
The first term is 3 and the common difference is 2. Thus, the formula for this arithmetic sequence is
a(n) = 3 - 2(n - 1)
