Question

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)
f(n + 1) = (0.5)f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)

Answer 1

f(n + 1) = (−0.5)f(n)

Each term is obtained by multiplying the previous term by −0.5: 9.6·(−0.5)=−4.8, −4.8·(−0.5)=2.4, etc.