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

Respuesta :

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

Answer:  Option 'A' is correct.

Step-by-step explanation:

Since we need to find the geometric sequence ,

For this we find the " common ratio" :

[tex]\frac{a_2}{a_1}=\frac{a_3}{a_2}\\\\\frac{\frac{1}{4}}{\frac{1}{4}}=\frac{\frac{1}{4}}{\frac{1}{4}}\\\\1=1[/tex]

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

Hence, Option 'A' is correct.