Define a sequence a1, a2, a3, ... by a = 1, an = 3an-1 +4 for n> 2. %3D Give a proof by induction that an = 3" – 2 for every n E N. %3D
Define a sequence a1, a2, a3, ... by a = 1, an = 3an-1 +4 for n> 2. %3D Give a proof by induction that an = 3" – 2 for every n E N. %3D
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 54E: Given the recursively defined sequence , and , use complete induction to prove that for all...
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