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[ ( -1 ) + ( -2 ) + ( -3) + (-4) + ..... + ( -2018) ] : 2019

Răspuns :

Răspuns: [tex]\color{red}\LARGE\boxed{\bf -1009}[/tex]

Explicație pas cu pas:

[tex]\large\bf [(-1) + (-2 ) + (-3) + (-4) + ..... + (-2018)]:2019=[/tex]

[tex]\large\bf (-1 -2 -3-4 - ..... -2018):2019=[/tex]

  • Scoatem factor comun semnul -

[tex]\large\bf -(1 +2+3+4+...+2018):2019=[/tex]

  • Aplicam in paranteza suma lui Gauss

[tex]\large\bf [-(1 +2018)\cdot2018:2]:2019=[/tex]

[tex]\large\bf (-2019\cdot2018:2):2019=[/tex]

[tex]\large\bf -2019\cdot1009:2019=[/tex]

[tex]\color{red}\Large\boxed{\bf -1009}[/tex]

==pav38==