Question

Find the common ratio of the geometric sequence: −320,80,−20,5,…

Answer 1

With geometric sequences, if you divide a term by the term before it you'll get the common ratio. That's how they are all constructed, and in this problem:

$\frac{80}{-320}=-\frac{1}{4}$

So -1/4 is our common ratio.

Answer 2

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 14 1 4 gives the next term.