Question

Which of the following represents a geometric sequence?

A. 1/4, 1/4, 1/4, 1/4
B. 1/4, 1/5, 1/6, 1/7
C. 1/4, 1, -4, 16
D. 1/4, -4, 1/4, -4

Answer 1

A. is the correct one I did it on my test and got it right

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we need to find the geometric sequence ,

For this we find the " common ratio" :

`(a_2)/(a_1)=(a_3)/(a_2)\\\\((1)/(4))/((1)/(4))=((1)/(4))/((1)/(4))\\\\1=1`

On the other hand, in options 'B' , 'C' and 'D' , there is no common ratio,

Hence, Option 'A' is correct.