If I have an eventually constant sequence, for instance $x_1=0.9$, $x_2=0.81$, $x_3=0,65$, $x_n=0.5$ $\forall n\geq 4$.
Since the first three terms are decreasing from the first one can I say that $x_n\geq x_{n+1}$ $\forall n\geq 1$ then can I say that the sequence is decreasing, even if from a certain $\bar n$ it becomes constant?