Question

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

Answer 1

Given:

`(1)/(2),-(1)/(4),(1)/(8),-(1)/(16),\ldots`
`\begin{gathered} \text{Common ratio=}(-(1)/(4))/((1)/(2)) \\ =-(1)/(4)*(2)/(1) \\ =-(1)/(2) \end{gathered}`