We were given the expression:
[tex]f(x)=-4(2)^{x-1}[/tex]We will obtain the recursive from this:
[tex]\begin{gathered} f(x)=-4(2)^{x-1} \\ \text{The recursive form is given by:} \\ a_n=r\cdot a_{n-1} \\ \Rightarrow a_1=-4 \\ a_n=2a_{n-1} \end{gathered}[/tex]