Question

What is the common ratio for the geometric sequence?

24, -6, 3/2, -3/8, ...

Answer 1

-1/4

Explanation:

Use the formula: a2 divided by a1. (a2/a1)

Plugging it in would look like this:

-6/24

-6/24 is equal to -1/4.

Hope this helps!

Answer 2

`-(1)/(4)` is the common ratio.

Explanation:

A sequence is a set of things (usually numbers) that are in order.

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

For a geometric sequence, the common ratio is the ratio of a term to the previous term.

Given the geometric sequence
`24, -6, (3)/(2), -(3)/(8) , ...`

To find the common ratio, find the ratio between a term and the term preceding it.

`r= -((3)/(2))/(6) =-(3)/(12)=-(1)/(4)`

`-(1)/(4)` is the common ratio.