MathDB

find a term of a sequence

Source: Ireland 1998

July 4, 2009

algebra proposedalgebra

Problem Statement

A sequence

(x_n)

is given as follows:

x_0,x_1

are arbitrary positive real numbers, and x_{n\plus{}2}\equal{}\frac{1\plus{}x_{n\plus{}1}}{x_n} for

n \ge 0

. Find

x_{1998}