How do you determine whether the sequence $5, 1, 0.2, 0.04,...$ is geometric and if it is, what is the common ratio?

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Answer 1 · 2017-07-31T11:47:36

This is geometric progression and common raio is $0.2$

$5 ,1, 0.2 ,0.04 :. a_1= 5 ; a_2=1, a_3=0.2 , a_4=0.04 ....$

For Geometric progression $a_2/a_1= a_3/a_2=a_4/a_3=$ constant

Here $a_2/a_1=1/5=0.2 , a_3/a_2= 0.2/1= 0.2$ ,

$a_4/a_3=0.04/0.2=0.2$ . This constant $(0.2)$ is called common

ratio. This is geometric progression and common raio is $0.2$ [Ans]

How do you determine whether the sequence 5, 1, 0.2, 0.04,...5, 1, 0.2, 0.04,... is geometric and if it is, what is the common ratio?