Chapter 12.5, Problem 7E

Learning Curve Psychologists have found that in certain learning situations in which there is a maximum amount that can be learned, the additional amount learned each minute is proportional to the amount yet to be learned at the beginning of that minute. Let 12 units of information be the maximum amount that can be learned, and let the constant of proportionality be 30%. Find a difference equation for $y_n$, the amount learned after n minutes, and sketch its graph.