Chapter 4.7, Problem 10P

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

$4,8,12,16,\dots$

To determine

To find:

That thesequence is arithmetic or not.

Answer to Problem 10P

Yes, the sequence is arithmetic and common difference of this sequence is $4$ .

Explanation of Solution

Given information:

  $4,8,12,16,\mathrm{...}$

First finding the common difference in the sequence $4,8,12,16,\mathrm{...}$

  $\begin{array}{c}8-4=4\\ 12-8=4\\ 16-12=4\end{array}$

Since the common difference issame, the sequence isarithmetic.

The common difference of this sequence is $4$ .

Hence the sequence isarithmetic and common difference of this sequence is $4$ .