Chapter 12.1, Problem 33E

(a)

To determine

The table of the value of $y_0\text{ to }{y}_6$ if the difference equation is $y_n=.75y_{n-1}+1.25$ with initial value $y_0=2$.

(b)

To determine

To graph: The terms of the difference equation $y_n=.75y_{n-1}+1.25$ with initial value $y_0=2$.

(c)

To determine

The value of $y_9$ with the help of graph or table of the difference equation $y_n=.75y_{n-1}+1.25$ with initial value $y_0=2$ and also determine the value of n when $y_n$ within $.5$ units of 5.