Question

How do you find the common ratio of `-1/4,1/8,-1/16,1/32,...`?

Answer 1

`-1/2`

Explanation:

How do we get from `-1/4` to `1/8`? Notice our sign changed, so we multiplied by a negative.

One way to get from `-1/4` to `1/8` is to multiply by `-1/2`.

How do we get from `1/8` to `-1/16`? We can multiply by `-1/2` again.

What about from `-1/16` to `1/32`? We can multiply by `-1/2`.

Notice, to get to each successive term, we are multiplying by `-1/2`. This is our common ratio.

Hope this helps!