How do I prove that the following sequence converges? 3. Let (an : n 2 0) be a

How do I prove that the following sequence converges?
3. Let (an : n 2 0) be a sequence of real numbers. Assume that there existsA 6 (0,1) such that |an+1 — an| g Man — an_1| for each positive integer n.Prove that the sequence (an : n 2 0) converges.