(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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(i) Determine the number g, of ways of tossing a coin n times so that
the combination HT never appears. (ii) Show that f,= 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.
Transcribed Image Text:(i) Determine the number g, of ways of tossing a coin n times so that the combination HT never appears. (ii) Show that f,= 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.
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