Selected Problems Of The Vietnamese Mathematica... Apr 2026

Proving bounds or convergence in sequences.

At first glance, the sequence grows very slowly because we are adding small fractions. However, as stays within a range , we are repeatedly adding Selected Problems of the Vietnamese Mathematica...

xn+1=xn+1⌊xn⌋x sub n plus 1 end-sub equals x sub n plus the fraction with numerator 1 and denominator the floor of x sub n end-floor end-fraction Proving bounds or convergence in sequences

Unlike the shorter, high-speed AMC or AIME exams, the VMO often feels like a marathon. Problems are designed to test deep structural understanding rather than just "tricks." Vietnam has historically been a powerhouse in the International Mathematical Olympiad (IMO), and the VMO is the sieve that catches their finest analytical minds. Selected Problem: Sequences & Convergence Problems are designed to test deep structural understanding

Here is a brief overview and a sample problem that captures the spirit of the competition. The Spirit of the VMO

denotes the greatest integer function).

Deep dives into roots and coefficients that require more than just Vieta’s formulas.

Proving bounds or convergence in sequences.

At first glance, the sequence grows very slowly because we are adding small fractions. However, as stays within a range , we are repeatedly adding

xn+1=xn+1⌊xn⌋x sub n plus 1 end-sub equals x sub n plus the fraction with numerator 1 and denominator the floor of x sub n end-floor end-fraction

Unlike the shorter, high-speed AMC or AIME exams, the VMO often feels like a marathon. Problems are designed to test deep structural understanding rather than just "tricks." Vietnam has historically been a powerhouse in the International Mathematical Olympiad (IMO), and the VMO is the sieve that catches their finest analytical minds. Selected Problem: Sequences & Convergence

Here is a brief overview and a sample problem that captures the spirit of the competition. The Spirit of the VMO

denotes the greatest integer function).

Deep dives into roots and coefficients that require more than just Vieta’s formulas.