Question

Find the common ratio for the following sequence.1/2, -1/4, 1/8, -1/16, ...

Answer 1

Given:

$\frac{1}{2},-\frac{1}{4},\frac{1}{8},-\frac{1}{16},\ldots$$\begin{gathered} \text{Common ratio=}\frac{-\frac{1}{4}}{\frac{1}{2}} \\ =-\frac{1}{4}\times\frac{2}{1} \\ =-\frac{1}{2} \end{gathered}$