Question

# Find a recursive rule that models the exponential decay of y=32,000(0.95)^t

Exponential models
Find a recursive rule that models the exponential decay of $$\displaystyle{y}={32},{000}{\left({0.95}\right)}^{{t}}$$

Explicit: $$\displaystyle{P}{n}={P}{0}{\left({1}+{r}\right)}^{{n}}$$
Recursive: $$\displaystyle{P}{n}={\left({1}+{r}\right)}{P}{n}-{1}$$
$$\displaystyle{y}{\left({t}\right)}={1600}{\left({0.97}\right)}^{{t}}$$