Verified Answer :

Louli

OK, so noticing the numbers you have:
we can see that, multiplying each number by 3 gives the next one.
That is:
(1/324) x 3 = 1/108
(1/108) x 3 = 1/36
(1/36) x 3 = 1/12
So, to get the next number in the pattern, we will just multiply (1/12) by 3
The next number is:
(1/12) x 3 = 1/4

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

The pattern is of the denominator being divided by 3 would, so the sequence would show \(\frac{1}{4}\) as the next in the pattern. (Just an alternate way of looking at the same answer.)

\(\frac{1}{(12 / 3)} = \frac{1}{4}\)