Final answer:
The function that can be used to determine the nth term is gn = (-3) x gn-1, where g1 = 8. You can find each subsequent term by substituting the values of n and gn-1 into the function.
Step-by-step explanation:
The function that can be used to determine the nth term is:
gn = (-3) x gn-1
To find the nth term, we can use the given initial term g1 = 8. We can plug in the values of n and gn-1 into the recursive function to find each subsequent term.
For example, to find g2, we substitute n = 2 and gn-1 = g1 = 8 into the function: g2 = (-3) x g1 = (-3) x 8 = -24.
Similarly, we can continue to find the values of gn for any given n using this recursive function.