Consider the recurrence relation an = 14 an-1  − 56  an-2,       n>1, with the initial conditions a0=4, a1=5. The solution of this homogeneous linear recurrence relation of order 2 is of the following form a^(n)=c_(1)r_(1)^(n)+c_(2)r_(2)^(n) for some real numbers r1≠r2 and c1,c2. What is the product c1c2=? Write your answer:

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Chapter1: Combinatorial Analysis
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Consider the recurrence relation

an = 14 an-1  − 56  an-2,       n>1,

with the initial conditions a0=4, a1=5. The solution of this homogeneous linear recurrence relation of order 2 is of the following form

a^(n)=c_(1)r_(1)^(n)+c_(2)r_(2)^(n)

for some real numbers r1≠r2 and c1,c2. What is the product c1c2=? Write your answer:

 

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