1. (a) Solve the recurrence equation In 4.9n-1-3-gn-2 Vn ≥ 2; go = 1, 9₁ =7 (b) Let fn be the number of sequences with alphabet {0, 1, 2} of length n that do not contain two consecutive even numbers. Find and solve the recurrence relation for fn.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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1. (a) Solve the recurrence equation
In 4.9n-1-3-gn-2 Vn2; 90 = 1,9₁ = 7
(b) Let fn be the number of sequences with alphabet {0, 1,2} of length n
that do not contain two consecutive even numbers. Find and solve the
recurrence relation for fn.
Transcribed Image Text:1. (a) Solve the recurrence equation In 4.9n-1-3-gn-2 Vn2; 90 = 1,9₁ = 7 (b) Let fn be the number of sequences with alphabet {0, 1,2} of length n that do not contain two consecutive even numbers. Find and solve the recurrence relation for fn.
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