Science:Math Exam Resources/Courses/MATH307/December 2010/Question 05 (c)/Statement

Define a sequence x₀, x₁, ... by the initial conditions x₀ = a, x₁ = b and x₂ = c together with the recursion relation

$\displaystyle x_{n+3}=x_{n+2}+x_{n+1}+x_{n}$

for n = 0, 1, 2, ...

(c) Explain how you could ensure that the a, b and c you find in part (b) are real numbers.