Example 5 Find a closed form solution for the following recurrence relations. For brevity, we omit the inductive proofs.
{"Image DocumentName": "Example 5Find a closed form solution for the following recurrence relations. For brevity, we omit the inductive proofs.", "Image ImageDescription": "a) Recurrence relation: a0 = 2. an = 3an-1. Solution: an = 3 (3an-2) = 32 an-2. an = 32 (3an-3) = 33 an-3. an = 3i-1 (3an-i) = 3i an-I. Set i = n, yielding: an = 3n a0. an = 2   3n.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}