Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.3 Geometric Sequences; Geometric Series - 11.3 Assess Your Understanding - Page 844: 7

$\bf{False}$

The common ratio $r$ of a geometric sequence can be any real number except $1$ and $0$. This implies that the common ratio of a geometric sequence must have a positive or negative number. Thus, the statement is $\bf{False}$.