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Salut! ♡

a+(a+1)+(a+2)+(a+3).....(a+2016)

=2017²⁰¹⁸

=a+a+a+...+a (2017 de a) + 1+2+3.....+2016

=2017²⁰¹⁸

2017×a+ 2016×2017/2= 2017²⁰¹⁷×2017|:2017

a+1018= 2017²⁰¹⁷

a= 2017²⁰¹⁷-1018

a+1= 2017²⁰¹⁷-1017

a+2= 2017²⁰¹⁷-1016

.............

a+2014= 2017²⁰¹⁷-1018+2014

=2017²⁰¹⁷-1006

a+2015=2017²⁰¹⁷-1007

a+2016= 2017²⁰¹⁷-1008

2017²⁰¹⁸=(2017²⁰¹⁷-1008)+(2017²⁰¹⁷-1007)+(2017²⁰¹⁷-1006)+.....+(2017²⁰¹⁷-1006)++(2017²⁰¹⁷-1007)+(2017²⁰¹⁷-1008)

sunt 2017 numere consecutive

suma este 2017²⁰¹⁷ de 2017 ori =>

=> 2017²⁰¹⁷×2017= 2017²⁰¹⁸.