There are two different questions but I am hoping that if I get help with the first one, I will be able to do the second one on my own.

Find the sum of the series if it converges or show that it diverges

∑ n=0 to infinity of [2^(3n)-1] / [ 3^(2n)]

Do I do the nth term test and take the limit of it? I am not good at limits either.

Thanks!