Chapter 9.1, Problem 11E

To determine

The first five terms of the sequence

Answer to Problem 11E

  $-2,4,-8,16,-32$

Explanation of Solution

Given:

The n^th term is given as

  $a_n={\left(-2\right)}^n$

Calculation:

Consider that $a_i$ is the i^th term of the sequence

The first five terms of the sequence $a_n={\left(-2\right)}^n$ can be calculated as

  $\begin{array}{l}{a}_1={\left(-2\right)}^1=-2\\ a_2={\left(-2\right)}^2=4\\ a_3={\left(-2\right)}^3=-8\\ a_4={\left(-2\right)}^4=16\\ a_5={\left(-2\right)}^5=-32\end{array}$

Hence, the first five terms are

  $-2,4,-8,16,-32$