Respuesta :

Answer:

D. 1/3

Explanations:

The given sequance is:

27, 9, 3, 1, .............................

For a geometric sequence:

[tex]T_1,T_2,T_3,T_4,\ldots\ldots\ldots..T_{n-1},T_n[/tex]

The common ratio is:

[tex]r\text{ = }\frac{T_2}{T_1}\text{ = }\frac{T_3}{T_2}=\frac{T_4}{T_3}=\ldots\text{..=}\frac{T_n}{T_{n-1}}[/tex]

For the sequence 27, 9, 3, 1

[tex]r\text{ = }\frac{9}{27}=\text{ }\frac{3}{9}=\text{ }\frac{1}{3}[/tex]

The common ratio = 1/3