Chapter 7.8, Problem 1STP

For Exercises $1-5,$ choose the correct letter.

What is the common ratio for the geometric sequence $-3,6,-12,24,\dots ?$

A. 2

B. $\frac{1}{2}$

C. $\frac{}{}\frac{1}{2}$

D. -2

To determine

To find the common ration of the given geometric sequence.

Answer to Problem 1STP

Common ration is $-2$ & option D is correct.

Explanation of Solution

Given:

  $-3,6,-12,24,\mathrm{......}$

Calculation:

The common ratio is,

  $\begin{array}{l}\frac{\text{second}\text{term}}{\text{first}\text{term}}=\frac{6}{-3}\\ =-2\end{array}$

Hence option D is correct.