Question

Given the following geometric sequence, find the common ratio. {0.1,-0.9,8.1,...}

Answer 1

The common ratio is the constant found when you divide any term in a geometric sequence by the term preceding it.

-0.9/0.1=8.1/-0.9=-9

The common ration is negative 9.

Answer 2

Common ratio, r = -9

Explanation:

If we have geometric progression, the common ratio is the ratio of (n+1)th term and nth term.

Here geometric progression is

0.1,-0.9,8.1,.................

Common ratio

`r=(-0.9)/(0.1)=-9\\\\r=(8.1)/(-0.9)=-9`

Common ratio, r = -9