Chapter 12.1, Problem 30E

(a)

To determine

The table of the value of $y_0\text{ to }{y}_6$ if the difference equation is $y_n=1.2y_{n-1}-2$ with initial value $y_0=12.5$.

(b)

To determine

To graph: The terms of the difference equation $y_n=1.2y_{n-1}-2$ with initial value $y_0=12.5$.

(c)

To determine

The value of $y_3$ with the help of graph or table of the difference equation $y_n=1.2y_{n-1}-2$ with initial value $y_0=12.5$ and also determine the value of n when $y_n$ first exceed the value 20.