Question

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

Answer 1

Răspuns: $\color{red}\LARGE\boxed{\bf -1009}$

Explicație pas cu pas:

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

$\large\bf (-1 -2 -3-4 - ..... -2018):2019=$

• Scoatem factor comun semnul -

$\large\bf -(1 +2+3+4+...+2018):2019=$

• Aplicam in paranteza suma lui Gauss

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

$\large\bf (-2019\cdot2018:2):2019=$

$\large\bf -2019\cdot1009:2019=$

$\color{red}\Large\boxed{\bf -1009}$

==pav38==