Inequality with n
Source: Romanian district MO 7th grade P1
March 1, 2008
inequalitiesalgebra proposedalgebra
Problem Statement
Prove that for an integer n>\equal{}1 we have n(1\plus{}\frac{1}{2}\plus{}\frac{1}{3}\plus{}\dots\plus{}\frac{1}{n})\geq (n\plus{}1)(\frac{1}{2}\plus{}\frac{1}{3}\plus{}\dots\frac{1}{n\plus{}1})