What are the next three terms of the geometric sequence 32, -16, 8, …?

Hello there!

A Geometric sequence is a sequence where we use multiplication or division to get to the next term.

Here, we use division.

32, -16..

What did we do to get from 32 to -16?

We divided 32 by -2, didn't we?

Now, to get from -16 to the next term, what we must do is divide by -2 again.

The answer is 8. Why? Why not -8? Because when we multiply or divide a negative number by a negative number, we get a positive number.

32, -16, 8,

We do the same thing with the next term:

32, -16, 8, -4

Divide -4 by -2:

32, -16, 8, -4, 2

And again divide by -2:

32, -16, 8, -4, 2, -1.

Hope this helps!