Chapter 9, Problem 62RE

Solution

To identify: Whether the geometric series converges. If it does, find its sum ${\displaystyle \sum _{k=1}^{\infty }{\left(1.2\right)}^k}$

This is diverges series.

Given information:

These is given term $r=\left(1.2\right)$ .

Explanation:

Consider the given term.

It is given that $r=\left(1.2\right)$ .

Determine the value of $a_1$

  $\begin{array}{l}{a}_1=1\cdot \left(1.2\right)\\ a_1=1.2\end{array}$

So, $\left|r\right|=\left|1.2\right|=1.2>1$ , the series diverges..