1. Consider the sequence a1 = 3 , a2 = -9 , an = 7an-1 – 10an-2, for n > 3. Use strong induction to prove that an 2n+2 – 5" for all n > 1. |
1. Consider the sequence a1 = 3 , a2 = -9 , an = 7an-1 – 10an-2, for n > 3. Use strong induction to prove that an 2n+2 – 5" for all n > 1. |
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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