Answer: Diverges
Each time we multiply by 3 to get the next term
4*3 = 12
12*3 = 36
36*3 = 108
The sequence grows without bound. In other words, it does not approach a finite value. The common ratio is r = 3, which makes -1 < r < 1 false, so that is an algebraic way to see why the sequence diverges.
