Suppose you are granted three wishes. Your first is to end world hunger, your second is to live forever, and your third is to find the closed form of a recurrence relation that has been bothering you your whole life: f(0) = 1 f(1) = 1 f(n) = 3f(n - 1) + 10f(n - 2) + 1 for n greaterthanorequalto 2 Unfortunately, you only get one of your three wishes fulfilled. Using strong induction, prove that f(n) = 13/28 middot 5^n + 13/21 middot (-2)^n -1/12 for all n greaterthanorequalto 0, where f(n) is defined as f(0) = 1 f(1) = 1 f(n) = 3f(n - 1) + 10f(n - 2) + 1 for n greaterthanorequalto 2