MathDB

Balkan TSTp3.4

Source: Azerbaijan Balkan TST 2016 no 3

October 20, 2016

algebra

Problem Statement

For all numbers

n\ge 1

does there exist infinite positive numbers sequence

x_1,x_2,...,x_n

such that

x_{n+2}=\sqrt{x_{n+1}}-\sqrt{x_n}