👤

2019² scris ca suma de 2019 numere consecutive

Răspuns :

a+a+1+a+2+a+3+…..+a+2018=2018²

2019a+1+2+3+…..+2018=2019²

2019a+2018•2019:2=2019²

2019(a+1009)=2019²           I:2019

a+1009=2019

=> a=1010

=> 1010; 1010+1; 1010+2; .......; 1010+2018

=> 1010+1011+1012+........+3028=2019²