Question

Identify the common ratio of the sequence: 400, 200, 100, 50, . . .

Answer 1

The sequence is given below as

`400,200,100,50,...`

Concept:

To figure out the common ratio, we will use the relation below

`\begin{gathered} r=(a_2)/(a_1)=(a_3)/(a_2) \\ a_1=400,a_2=200,a_3=100,a_4=50 \end{gathered}`

By substituting the values, we will have

`\begin{gathered} r=(200)/(400)=(100)/(200)=(50)/(100) \\ r=(1)/(2) \end{gathered}`

Hence,

The common ratio of the sequence is

`\Rightarrow r=(1)/(2)`