The temperature of a body is measured as 100◦F. It is observed that the temperature change each period of 3 hours is −0.3 times the difference between the previous period’s temperature and the room...

The temperature of a body is measured as 100◦F. It is observed that the temperature change each period of 3 hours is −0.3 times the difference between the previous period’s temperature and the room temperature, which is 65◦F.

(a) Write a difference equation that describes the temperature T (n) of the body at the end of n periods.

(b) Find T (n).