Chapter 12.2, Problem 12E

(a)

To determine

To calculate: The values $y_0$, $y_1$, $y_2$, $y_3$, $y_4$ for the difference equation $y_n=\frac{1}{2}{y}_{n-1}+5$ and describe the graph corresponding to the initial condition when $y_0=10$.

(b)

To determine

To calculate: The values $y_0$, $y_1$, $y_2$, $y_3$, $y_4$ for the difference equation $y_n=\frac{1}{2}{y}_{n-1}+5$ and describe the graph corresponding to the initial condition when $y_0=18$.

(c)

To determine

To calculate: The values $y_0$, $y_1$, $y_2$, $y_3$, $y_4$ for the difference equation $y_n=\frac{1}{2}{y}_{n-1}+5$ and describe the graph corresponding to the initial condition when $y_0=2$.