Exponentially 2 and 4 terms are negative. What can be the sign of the denominator? Give examples .

The sign of the denominator in such a progression can be either negative or positive. Here are some examples.

a) Positive denominator.

Let our geometric progression look like this:

-five; -10; -twenty; -40.

As we can see, the second and fourth terms are negative. However, we find the sign of the denominator:

-10: (-5) = 2.

That is, the denominator is positive.

b) Negative denominator:

10; -twenty; 40; -80.

Here, too, the second and fourth terms are negative, but we find the sign of the denominator:

-20: 10 = -2.

It is negative.