Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The given sequence is
[tex]27, 9, 3, 1[/tex]
This sequences comprehend a geometric sequence, because it's obtained by dividing each element by 3, as follows
[tex]\frac{27}{3}=9\\\\\frac{9}{3}=3\\ \\\frac{3}{3}=1[/tex]
Therefore, the reason is [tex]\frac{1}{3}[/tex], which consists in dividing each term by 3, it's the same if we multiply each term by [tex]\frac{1}{3}[/tex].
So, the right choice is the first option, one-third.
