Recurrence Relationshard
0:00.0

For a second-order recurrence an=c1an1+c2an2a_n = c_1 a_{n-1} + c_2 a_{n-2} with distinct real characteristic roots r1r_1 and r2r_2, which condition is SUFFICIENT to guarantee that an0a_n \to 0 as nn \to \infty for ANY initial conditions a0a_0 and a1a_1?