Consider a patient who receives a fixed daily dose of a medication that raises the concentration of the medication in the bloodstream by 3 mg/liter. We could model this by the following discrete-time dynamical system mt+1 = 0.25m, +3 with mo = 0. The expression mo = 0 means that on day 0 (before the treatment starts) there is no medication in the blood. The '+3' represents the dosage and the 0.25 or 25% is the portion of medication left in the bloodstream by the patient's body tissue each day (which means the other 0.75 or 75% has been eliminated from the bloodstream). The fraction of the medication that is eliminated out of the blood can vary for different people. Below we explore what would happen if the patient eliminated less of the medication. 1. Assume that the patient eliminates 65% of the medication that is present in the bloodstream each day (so 35% of what is in the bloodstream on day t is left in the bloodstream by the next day, t+1). The daily dose is still 3 mg/liter, and the patient begins with no medication in the blood on day 0. Give the new discrete dynamical system that models this situation (including the initial condition).