Let (a,) be the sequence from the previous question. To show byinduction that a, = 2" + 3 for all natural n, the inductionassumption isO ak = 2ak-1 – 3 for some natural k > 1.ak= 2* + 3 for some natural k >1.ak= 2* + 3 and ak = 2ax-1 - 3 for some natural k > 1. = 2an-1— 3

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Answered: Let (a,) be the sequence from the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let (a,) be the sequence from the previous question. To show by induction that a, = 2" + 3 for all natural n, the induction assumption is O ak = 2ak-1 – 3 for some natural k > 1. ak = 2* + 3 for some natural k >1. ak = 2* + 3 and ak = 2ak-1 - 3 for some natural k > 1.