Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
To find the common ratio of a geometric sequence, we can divide one of the terms by the one before it
[tex]r = \frac{u_n}{u_{n-1}}[/tex]
Let's try to apply that to the sequence in the question prompt:
[tex]r = \frac{504}{3024}\\\\r = \frac{1}{6}[/tex]
The common ratio must be the same all throughout the sequence, so we can try this with two other values from the sequence just to be sure
[tex]r = \frac{84}{504}\\\\r = \frac{1}{6}[/tex]
Now we can be sure that the common ratio of this geometric sequence is [tex]\frac{1}{6}[/tex]
Note: [tex]r[/tex] is usually used to denote the common ratio
Good luck!
