MathDB

2021 equations

Source: CIIM 2020 P5

October 26, 2020

algebra

Problem Statement

Determine all the positive real numbers

x_1, x_2, x_3, \dots, x_{2021}

such that

x_{i+1}=\frac{x_i^3+2}{3x_i^2}

for every

i=1, 2, 3, \dots, 2020

and

x_{2021}=x_1