(d) Given that n is even, how many 00-free bitstring of length n where n is even have exactly (끌 + 1) 1's? (끌 + 2) 1's? (e) Generalizing on your answer from (d), explain why the following is true for an even value n: El 2i + 1 +1' = fn+2 i=0 where fn+2 is the (n + 2)th Fibonnacci number.
(d) Given that n is even, how many 00-free bitstring of length n where n is even have exactly (끌 + 1) 1's? (끌 + 2) 1's? (e) Generalizing on your answer from (d), explain why the following is true for an even value n: El 2i + 1 +1' = fn+2 i=0 where fn+2 is the (n + 2)th Fibonnacci number.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 28E
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