Chapter 11.2, Problem 3SP

(a)

To determine

Whether the average monthly electric bills represented by the following table follow arithmetic progression.

$\begin{array}{|cc|}\hline \text{Year}& \text{Amount}\left(\text{\$}\right)\\ 1& 102.6\\ 2& 108.0\\ 3& 113.4\\ 4& 118.8\\ \hline\end{array}$

(b)

To determine

The expression for the nth term of the sequence for the data when the average monthly electric bills represented by the following table.

$\begin{array}{|cc|}\hline \text{Year}& \text{Amount}\left(\text{\$}\right)\\ 1& 102.6\\ 2& 108.0\\ 3& 113.4\\ 4& 118.8\\ \hline\end{array}$

(c)

To determine

The average monthly bill for year 6 for the data when the average monthly electric bills represented by the following table.

$\begin{array}{|cc|}\hline \text{Year}& \text{Amount}\left(\text{\$}\right)\\ 1& 102.6\\ 2& 108.0\\ 3& 113.4\\ 4& 118.8\\ \hline\end{array}$