(c) Suppose that a1,a2, a3, ... is a sequence defined by letting aj = 3 and an 5. a\n/2! +6 for every integer n > 2. Use strong mathematical induction to prove that a, is divisible by 3 for every positive integer n.
(c) Suppose that a1,a2, a3, ... is a sequence defined by letting aj = 3 and an 5. a\n/2! +6 for every integer n > 2. Use strong mathematical induction to prove that a, is divisible by 3 for every positive integer n.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 52E: Given the recursively defined sequence a1=1,a2=3,a3=9, and an=an13an2+9an3, use complete induction...
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