Find the common ratio of the geometric sequence. $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16},...$
A) $-\frac{1}{8}$
B) $\frac{1}{4}$
C) $\frac{1}{2}$
D) $-\frac{1}{2}$
E) $-\frac{1}{4}$

Question

Quizplus · Accepted Answer

To find the common ratio, we divide any term by the previous term. For example, $\frac{1}{4}$ divided by $\frac{1}{2}$ equals $\frac{1}{8}$ divided by $\frac{1}{4}$ which equals $\frac{1}{2}$. Since each term is half of the previous term, the common ratio is $\boxed{	extbf{(C)}\ \frac12}$.

Find the Common Ratio of the Geometric Sequence 12,14,18,116,...\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16},...21​,41​,81​,161​,...

Find the Common Ratio of the Geometric Sequence $\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16},...$