What do we call a sequence that converges in finite steps?
E.g. $3,2,1,0,0,0\ldots$
as opposed to $\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},$
I know we would call either convergent. But is there a stronger name for the first case? I searched for it and can't find a name. The best terminology I can come up with is to say that it becomes constant.