Three sequences are defined by: (I) $a_n = 0.8 a_{n-1}$ with $a_0 = 1$; (II) $b_n = 1.2 b_{n-1}$ with $b_0 = 1$; (III) $c_n = c_{n-1} + 0.001 c_{n-2}$ with $c_0 = 1, c_1 = 1$. Which statement is correct?