Question

F(1) = -16f(n) = f(n − 1). (1/2) f(3) =

Answer 1

Consider the generalzed expression

`f(n)=f(n-1).((1)/(2))`

Observe that the value of output f(n) is dependent on its previous outputs.

So, in order to find f(3), you must know the value of f(2).

Similarly, the value of f(1) is required to obtain f(2), that is given in the question.

It is asked to find the value of f(3), so put n

Solve for f(2) as,

`f(2)=f(2-1).((1)/(2))\Rightarrow f(1).((1)/(2))\Rightarrow(-16).((1)/(2))\Rightarrow-8`