The recurrence $a_n = -0.6a_{n-1} - 0.18a_{n-2}$ has complex characteristic roots $r = -0.3 \pm 0.3i$, which in polar form is $r = \sqrt{0.18} e^{\pm i3\pi/4}$.

Given $a_0 = 4$ and $a_1 = -2$, which statement about the sequence behavior is TRUE?