(i) Determine the number g, of ways of tossing a coin n times so that the combination HT never appears. (ii) Show that fn= fn-1+ fn=2+ fn-3, n> 3, is the equation for the number of ways of tossing a coin n times so that three successive heads never appear.
(i) Determine the number g, of ways of tossing a coin n times so that the combination HT never appears. (ii) Show that fn= fn-1+ fn=2+ fn-3, n> 3, is the equation for the number of ways of tossing a coin n times so that three successive heads never appear.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 51E
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