Chapter 4.7, Problem 13P

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

$12,23,34,45,\dots$

To determine

To find:

That thesequence is arithmetic or not.

Answer to Problem 13P

Yes, the sequence is arithmetic and the common difference is $11$ .

Explanation of Solution

Given information:

  $12,23,34,45,\mathrm{...}$

First finding the common difference in the sequence $12,23,34,45,\mathrm{...}$

  $\begin{array}{c}23-12=11\\ 34-23=11\\ 45-34=11\end{array}$

Since the common difference issame, the sequence isarithmetic.

The common difference of this sequence is $11$ .

Hence the sequence isarithmetic and the common difference is $11$ .