Given an=ran−1a_n = r a_{n-1}an=ran−1, what does the value of ∣r∣|r|∣r∣ signify?
∣r∣>1|r| > 1∣r∣>1: the sequence grows exponentially
∣r∣<1|r| < 1∣r∣<1: the sequence decays to 0
∣r∣=1|r| = 1∣r∣=1: the sequence is constant or oscillates
∣r∣=0|r| = 0∣r∣=0: the sequence is constant