Chapter 4.7, Problem 15P

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

$1,3,9,27;\dots$

To determine

To find:

That thesequence is arithmetic or not.

Answer to Problem 15P

No, the sequence is not arithmetic.

Explanation of Solution

Given information:

  $1,3,9,27,\mathrm{...}$

First finding the common difference in the sequence $1,3,9,27,\mathrm{...}$

  $\begin{array}{c}3-1=2\\ 9-3=6\\ 27-9=18\end{array}$

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

Hence the sequence is not arithmetic.