IMO Shortlist 1969 problem 41
Dodao/la:
arhiva2. travnja 2012. ![(MON 2)](/media/m/2/3/3/23374445829770dfeb057b81d5e83780.png)
Given reals
![x_0, x_1, \alpha, \beta](/media/m/a/f/a/afa2db00f5dac41ac133f284a41f16e9.png)
, find an expression for the solution of the system
%V0
$(MON 2)$ Given reals $x_0, x_1, \alpha, \beta$, find an expression for the solution of the system $$x_{n+2} -\alpha x_{n+1} -\beta x_n = 0, \qquad n= 0, 1, 2, \ldots$$
Izvor: Međunarodna matematička olimpijada, shortlist 1969