Chapter 4.6, Problem 54E

a.

To determine

To tell: Does the graph represent an arithmetic sequence? Explain.

Answer to Problem 54E

Yes the graph represents the arithmetic sequence.

Explanation of Solution

Given information: The bar graph shows the cost of advertising in a magazine.

Calculation: From bar graph we get sequence is $20000,30000,40000,50000,\mathrm{.....}$ .

  $70000$

Common difference is same.

Therefore the graph represents the arithmetic sequence.

b.

To determine

To calculate: How you would estimate the cost of six page advertisement in the magazine.

Answer to Problem 54E

The cost of six page advertisement in the magazine is $70000$ .

Explanation of Solution

Given information: The bar graph shows the cost of advertising in a magazine.

Calculation: From bar graph we get sequence is $20000,30000,40000,50000,\mathrm{.....}$ .

  $\begin{array}{l}{a}_n=a+(n-1)d\\ a_6=20000+(6-1)10000\\ a_6=20000+(5)10000\\ a_6=20000+50000\\ a_6=70000\end{array}$

Therefore the cost of six page advertisement in the magazine is $70000$ .