When a cold object is placed in a warm room, each minute its increase in temperature is 20% of the difference between the room temperature and the temperature of the object at the beginning of the minute. Suppose that the room temperature is 70oF and the initial temperature of the object is 40o F.
(a) Find the difference equation for yn, the temperature of the object after n minutes.
(b) Solve the difference equation from part (a).
(c) Use the solution from part (b) to calculate the temperature of the object after 5 minutes?