Question

Create the explicit function that goes with f(1) = 12; f(n)= f(n-1)-3

Answer 1

The given recursive function \(f(n) = f(n - 1) - 3\) with the initial condition \(f(1) = 12\) can be written explicitly as:

\[f(n) = 12 - 3(n - 1)\]

This formula represents the explicit function corresponding to the given recursive definition.