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Calculați 2×(1+2+3...+2019)÷2020 Dau coroana. Si 30 puncte

Răspuns :

Icecon2005

2 × (1 + 2 + 3 + ...+ 2019) : 2020 =

(1 + 2 + 3 + ...+ 2019)  -suma Gauss  = [2019 × (2019+1)]:2=

[2 × (2019 × 2020) :2 ] : 2020 = 2019

2 × (1 + 2 + 3 + ...+ 2019) : 2020 = 2019

2 × ( 1 + 2 + .. + 2019 ) : 2020 =

= 2 × 2019 × 2020 : 2 : 2020

= 2019

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