MathDB
Simple sequences

Source: 2021 MEMO I-1

September 5, 2021
SequencealgebramemoMEMO 2021constant

Problem Statement

Determine all real numbers A such that every sequence of non-zero real numbers x1,x2,…x_1, x_2, \ldots satisfying xn+1=A−1xn x_{n+1}=A-\frac{1}{x_n} for every integer n≥1n \ge 1, has only finitely many negative terms.
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