Chapter 8.2, Problem 77E

Business The table shows the net numbers of new stores opened by H&M from 2011 through 2015.

(a) Construct a bar graph showing the annual net numbers of new stores opened by H&M from 2011 through 2015.

(b) Find the $n\text{th}$ term $\left(a_n\right)$ of an arithmetic sequence that approximates the data. Let $n$ represent the year, with $n=1$ corresponding to 2011. (Hint: Use the average change per year for $d.$ )

(c) Use a graphing utility to graph the terms of the finite sequence you found in part (b).

(d) Use summation notation to represent the total number of new stores opened from 2011 through 2015. Use this sum to approximate the total number of new stores opened during these years.