Chapter 12.1, Problem 31E

(a)

To determine

The table of the value of $y_0\text{ to }{y}_6$ if the difference equation is $y_n=-.85y_{n-1}+11.1$ with initial value $y_0=4$.

(b)

To determine

To graph: The terms of the difference equation $y_n=-.85y_{n-1}+11.1$ with initial value $y_0=4$.

(c)

To determine

The value of $y_{19}$ with the help of graph or table of the difference equation $y_n=-.85y_{n-1}+11.1$ with initial value $y_0=4$ and also determine the value of n when $y_n$ within $.2$ units of 6.