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$3$. A piece of paper has an area of $250$ square inches. A person cuts off $\frac{1}{5}$ of the piece of paper. Then a second person cuts off $\frac{1}{5}$ of the remaining paper. A third person cuts off $\frac{1}{5}$ what is left, and so on.$\newline$a. Complete the table where $A(n)$ is the area, in square inches, of the remaining paper after the $n^{\text {th }}$ person cuts off their fraction.$\newline$b. Define $A$ for the $n^{\text {th }}$ term.$\newline$c. What is a reasonable domain for the function $A$ ? Explain how you know.$\newline$\begin{tabular}{|c|c|}$\newline$\hline$n$ & $A(n)$ \\$\newline$\hline $0$ & $250$ \\$\newline$\hline $1$ & \\$\newline$\hline $2$ & \\$\newline$\hline $3$ & \\$\newline$\hline$\newline$\end{tabular}$\newline$$4$. Here is the recursive definition of a sequence: $f(1)=45, f(n)=f(n-1)-7$ for $n \geq 2$.$\newline$a. List the first $5$ terms of the sequence.$\newline$b. Graph the value of each term as a function of the term number.$\newline$(From Unit $1$, Lesson $7$.)