# How do you find the next two terms of the geometric sequence -1/4, 1/2, -1, ...?

Feb 4, 2017

$2 , \mathmr{and} , - 4$.

#### Explanation:

Observe that each succeeding term is obtained by multiplying the preceding term by $\left(- 2\right) , i . e . , \frac{1}{2} = \left(- 2\right) \left(- \frac{1}{4}\right) , - 1 = \left(- 2\right) \left(\frac{1}{2}\right) , \ldots .$.

Therefore, the term next to $\left(- 1\right) \text{ must be "(-2)(-1)=2," &, next } - 4$.