Answer:
f(n + 1) = –0.5f(n)
Step-by-step explanation:
The terms 9.6, –4.8, 2.4, –1.2, 0.6 alternate negative and positive. This means they must have a negative rate of change (because multiplying with negatives give both positive and negative numbers).
This narrows it down to:
f(n + 1) = –0.5f(n)
f(n + 1) = f(–0.5n)
Substitute f(n) for f(1)=9.6.
f(n + 1) = –0.5(n)
f(1 + 1) = –0.5(1)
f(2) = –0.5(9.6)
f(2) = -4.8
Since the second term is -4.8, f(n + 1) = –0.5f(n) is the recursive formula.
