`2, 4/sqrt(3), 8/3, 16/(3sqrt(3))` Determine whether the sequence is geometric. If so, find the common ratio.

You need to verify if the sequence is a geometric sequence, hence, you need to use the following property, such that:

`a_n = sqrt(a_(n-1)*a_(n+1))`

Replacing `4/sqrt3` for` a_n,`  2 for `a_(n-1)` and `8/3` for `a_(n+1)` yields:` `

`4/sqrt3 = sqrt(2*8/3) => 4/sqrt3 = 4/sqrt3`

Since the given sequence is geometric, you may evaluate the ratio such that:

`q = (a_n)/(a_(n-1)) => q = (4/sqrt3)/2 => q = 2/sqrt3`

Hence, the given sequence is geometric and its ratio is `q = 2/sqrt3.`