Given the following recursive equation:. f(n) = f(n-1) + 12f(n-2) f(0) = 2, f(1) = 6 Prove, using induction, that f(n) = (12/7)-4" + (2/7)-(-3)" is a closed-form solution to the equation. N. B. This equation can be directly solved using the characteristic equation method. However, this homework is about practicing proof by induction so you must use proof by induction to get credit for this problem.