MathDB

41

Part of 1969 IMO Shortlist

Problems(1)

Expression for solution of equation.

Source:

10/4/2010
(MON2)(MON 2) Given reals x0,x1,α,βx_0, x_1, \alpha, \beta, find an expression for the solution of the system xn+2−αxn+1−βxn=0,n=0,1,2,…x_{n+2} -\alpha x_{n+1} -\beta x_n = 0, \qquad n= 0, 1, 2, \ldots
algebrarecurrence relationsystem of equationsLinear RecurrencesIMO ShortlistIMO Longlist