Answer:
[tex]\huge\boxed{f(n+1)=-0.5f(n)}[/tex]
Step-by-step explanation:
[tex]f(1)=9.6\\f(2)=(-0.5)(9.6)=-4.8\\f(3)=(-0.5)(-4.8)=2.4\\f(4)=(-0.5)(2.4)=-1.2\\f(5)=(-0.5)(-1.2)=0.6\\\vdots\\f(n+1)=(-0.5)\bigg(f(n)\bigg)[/tex]
[tex]\text{Each subsequent term arises from the previous term multiplied by -0.5.}[/tex]
