Final answer:
The general formula for the alternating series is (-1)^(n+1) * 6/(n+3).
Step-by-step explanation:
The given series is an alternating series with the terms alternating between positive and negative. The general formula for an alternating series in the form n = 1 an is:
n = 1: a1 = 6/4
n = 2: a2 = -6/5
n = 3: a3 = 6/6
n = 4: a4 = -6/7
...
So, the general formula is:
an = (-1)n+1 * 6/(n+3)