# Is this a geometric sequence 8,4,2,1,1/2,1/4?

##### 1 Answer
Mar 6, 2017

It is a geometric sequence.

#### Explanation:

In a geometric sequence the quotient of any two consecutive terms is always the same.

${T}_{3} / {T}_{2} = {T}_{2} / {T}_{1} = {T}_{n} / {T}_{n - 1}$

In $8 , 4 , 2 , 1 , \frac{1}{2} , \frac{1}{4}$

$\frac{2}{4} = \frac{1}{2} \text{ and } \frac{4}{8} = \frac{1}{2}$

$\frac{1}{2}$ is known as the common ratio and is denoted by $r$