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:
[tex] \frac{80}{-320}=-\frac{1}{4} [/tex]
So -1/4 is our common ratio.
The common ratio of the geometric sequence −320, 80, −20, 5,… is -1/4 or -0.25.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence:
−320, 80, −20, 5,…
As we know, the geometric sequence or progression follows a certain rule of arithmetic.
The common ratio = second term/first term or
First term = -320
Second term = 80
= 80/(-320)
= -1/4
The common ratio = -1/4 or -0.25
Thus, the common ratio of the geometric sequence −320, 80, −20, 5,… is -1/4 or -0.25.
Learn more about the sequence here:
brainly.com/question/21961097
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