Question

What is the next term in the geometric sequence -1 -2 -4

Answer 1

-8

Explanation:

r=2

so multiply third term by 2

Answer 2

Answer: -8

Explanation:

We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".

We need to find the common ratio of this geometric sequence:

Divide one term by the previous term:

`r=(-4)/(-2)\\\\r=2`

Then, the next term asked in the exercise can be found by multiplying -4 by 2.

Therefore, this is:

`next\ term=(-4)(2)\\\\next\ term=-8`