Chapter 4.6, Problem 39E

To determine

To describe and correct: the error in the given arithmetic sequence

Answer to Problem 39E

The common difference is $-1$

Explanation of Solution

Given:

The sequence corresponding to the figure is $2,1,0,-1,\dots$

Calculation:

The sequence corresponding to the figure is $2,1,0,-1,\dots$

Now, check the difference between terms

So,

  $\begin{array}{l}1-2=-1\hfill \\ 0-1=-1\hfill \end{array}$

  $-1-0=-1$

Thus, the common difference between terms is same

Therefore, the common difference is $-1$

Conclusion:

Therefore, the common difference is $-1$