91Ó°ÊÓ

In Exercises 103-112, use sigma notation to write the sum. \( 3 - 9 + 27 - 81 + 243 - 729 \)

(a) Graph the first 10 terms of the arithmetic sequence \(a_{n}=2+3 n\). (b) Graph the equation of the line \(y=3 x+2\) (c) Discuss any differences between the graph of and the graph of $$y=3 x+2$$ and the graph of $$y=3 x+2$$ (d) Compare the slope of the line in part (b) with the common difference of the sequence in part (a). What can you conclude about the slope of a line and the common difference of an arithmetic sequence?

In Exercises 131-134, use the following definition of the arithmetic mean \( \bar{x} \) of a set of \( n \) measurements \( x_1, x_2, x_3, \dots , x_n \). \( \displaystyle \bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i \) Find the arithmetic mean of the six checking account balances \( \$327.15, \$785.69, \$433.04, \$265.38, \$604.12, \) and \( \$590.30 \). Use the statistical capabilities of a graphing utility to verify your result.

A technology services company has a job opening with a salary of \( \$52,700 \) for the first year.Suppose that during the next \( 24 \) years, there is a \( 3\% \) raise each year. Find the total compensation over the \( 25 \)-year period

A bungee jumper is jumping off the New River Gorge Bridge in West Virginia, which has a height of \( 876 \) feet. The cord stretches \( 850 \) feet and the jumper rebounds \( 75\% \) of the distance fallen. (a) After jumping and rebounding \( 10 \) times, how far has the jumper traveled downward? How far has the jumper traveled upward? What is the total distance traveled downward and upward? (b) Approximate the total distance, both downward and upward, that the jumper travels before coming to rest.