Consider the recurrence an=ran−1a_n = r a_{n-1}an=ran−1. What happens to the sequence if ∣r∣<1|r| < 1∣r∣<1 as n→∞n \to \inftyn→∞?
It diverges to infinity.
It converges to 0.
It oscillates between 1 and -1.
It converges to 1.