Chapter 4.7, Problem 16P

Tell whether the sequence is arithmetic. If it is, identify the common difference.

$-16,-11,-6,-1,\dots$

To determine

To find:

That thesequence is arithmetic or not.

Answer to Problem 16P

Yes, the sequence is arithmetic and the common difference of this sequence is $5$ .

Explanation of Solution

Given information:

  $-16,-11,-6,-1,\mathrm{...}$

First finding the common difference in the sequence $-16,-11,-6,-1,\mathrm{...}$

  $\begin{array}{c}-11-\left(-16\right)=5\\ -6-\left(-11\right)=5\\ -1-\left(-6\right)=5\end{array}$

Since the common difference issame, the sequence isarithmetic.

The common difference of this sequence is $5$ .

Hence the sequence is arithmetic and the common difference of this sequence is $5$ .