H(n) = 0 if n is  less than or equal to 0  H(n) = 1 if   n=1 or n=2  H(n-1) + H(n-2) - H(n-3)  if n>2    prove that H(2n) =  H(n-1) +H(n-2) - H(n-3)  if n>2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 57E
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H(n) = 0 if n is  less than or equal to 0 

H(n) = 1 if   n=1 or n=2 

H(n-1) + H(n-2) - H(n-3)  if n>2 

 

prove that H(2n) =  H(n-1) +H(n-2) - H(n-3)  if n>2 

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