Respuesta :

Answer:

It's 1/3.

Step-by-step explanation:

Common ratio = 9/27 = 1/3.

3 / 9 = 1/3

1 / 3 = 1/3   and so on.

Answer:

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

Step-by-step explanation:

The ratio between successive terms is

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

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

[tex]\frac{1}{3}[/tex]

[tex]\frac{\frac{1}{3} }{1}[/tex] = [tex]\frac{1}{3}[/tex]

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

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

Since the common ratio between terms is constant then sequence is geometric