Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of $y_0\text{ to }{y}_6$ if the difference equation is $y_n=.8y_{n-1}+.6$ with initial value $y_0=10$.

(b)

To determine

To graph: The terms of the difference equation $y_n=.8y_{n-1}+.6$ with initial value $y_0=10$.

(c)

To determine

The value of $y_4$ with the help of graph or table of the difference equation $y_n=.8y_{n-1}+.6$ with initial value $y_0=10$ and also determine the value of n when $y_n$ less than 4.