MathDB

Malaysia IMONST 2 Senior Problem 2

Source: Malaysia IMO national selection test 2020

October 19, 2020

algebraFractions

Problem Statement

Prove that

1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots +\frac{1}{2019}-\frac{1}{2020}=\frac{1}{1011}+\frac{1}{1012}+\cdots +\frac{1}{2020}