Chapter 4.7, Problem 20P

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

$5,10,15,20,\dots$

To determine

To find:

That thesequence is arithmetic or not.

Answer to Problem 20P

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

Explanation of Solution

Given information:

  $5$ , $10$ , $15$ , $20$ , ....

First finding the common difference in the sequence $5$ , $10$ , $15$ , $20$ , …

  $\begin{array}{c}10-5=5\\ 15-10=5\\ 20-15=5\end{array}$

Since the common difference is same, the sequence is arithmetic.

The common difference of this sequence is $5$ .

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