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HOMEWORK 8 SOLUTIONS PART A - Cornell University
www.cs.cornell.eduHOMEWORK 8 SOLUTIONS PART A 1.(a) a n = a n-1+ 6 a n-2 , a 0 = 3, a 1 = 6 The characteristic equation of the recurrence relation is r2 -r -6 = 0 Its roots are r= 3 and r= -2. Hence the sequence {a n} is a solution to the recurrence relation if and only if a n = α 1 3 n+ α 2 (-2) n for some constant α 1 and α 2. From the initial condition ...
HOMEWORK 8 SOLUTIONS PART A - Cornell University
www.cs.cornell.eduHOMEWORK 8 SOLUTIONS PART A 1.(a) a n = a n-1+ 6 a n-2 , a 0 = 3, a 1 = 6 The characteristic equation of the recurrence relation is r2 -r -6 = 0 Its roots are r= 3 and r= -2. Hence the sequence {a n} is a solution to the recurrence relation if and only if a n =