Question

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

Answer 1

Answer:

$\huge\boxed{f(n+1)=-0.5f(n)}$

Step-by-step explanation:

$f(1)=9.6\\f(2)=(-0.5)(9.6)=-4.8\\f(3)=(-0.5)(-4.8)=2.4\\f(4)=(-0.5)(2.4)=-1.2\\f(5)=(-0.5)(-1.2)=0.6\\\vdots\\f(n+1)=(-0.5)\bigg(f(n)\bigg)$

$\text{Each subsequent term arises from the previous term multiplied by -0.5.}$

Answer 2

Answer:

f(n+1)=f(n)-5

Step-by-step explanation: