Chapter 4.6, Problem 2E

To determine

To find: The statement which is different for arithmetic sequence

Answer to Problem 2E

The statement which is different for arithmetic sequence are:

1. Find the slope of the linear function and

2. Find the difference between the terms $a_2$ and $a_4$

Explanation of Solution

Given:

  

Calculation:

Consider the graph and the arithmetic sequence represented by the graph:

  

As shown in graph the coordinates of points are (2, 10),(3,13),(4,16) and (5,19)

Now, the terms are $a_1=10,a_2=13,a_3=16$ and $a_4=19$

So, the terms have the common difference $d=3$

The statement which is different for arithmetic sequence are:

1. Find the slope of the linear function and

2. Find the difference between the terms $a_2$ and $a_4$

Conclusion:

The statement which is different for arithmetic sequence are:

1. Find the slope of the linear function and

2. Find the difference between the terms $a_2$ and $a_4$