Let the numbers e0, e1, e2, . . . be defined inductively as follows: e0 = 12, e1 = 29 en = 5en−1 − 6en−2 for n ≥ 1. Prove that en = 5 · 3 n + 7 · 2 n for all integers n ≥ 1.
Let the numbers e0, e1, e2, . . . be defined inductively as follows: e0 = 12, e1 = 29 en = 5en−1 − 6en−2 for n ≥ 1. Prove that en = 5 · 3 n + 7 · 2 n for all integers n ≥ 1.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 31E: 31. Prove statement of Theorem : for all integers and .
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Let the numbers e0, e1, e2, . . . be defined inductively as follows:
e0 = 12,
e1 = 29
en = 5en−1 − 6en−2 for n ≥ 1.
Prove that en = 5 · 3 n + 7 · 2 n for all integers n ≥ 1.
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