Chapter 12.1, Problem 29E

(a)

To determine

The table of the value of $y_0\text{ to }{y}_6$ if the difference equation is $y_n=1.05y_{n-1}-7.8$ with initial value $y_0=102.67$.

(b)

To determine

To graph: The terms of the difference equation $y_n=1.05y_{n-1}-7.8$ with initial value $y_0=102.67$.

(c)

To determine

The value of $y_7$ with the help of graph or table of the difference equation $y_n=1.05y_{n-1}-7.8$ with initial value $y_0=102.67$ and also determine the value of n when $y_n=0$.