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11+12+13+...+500=500×(500+11):2
Metoda lui
Gauss


Răspuns :

11+12+13+....+500=(1+2+3+...+500)-(1+2+3+....+10)=500×501:2-10×11:2=125250-55=125195

11 + 12 + ... + 500 =

= [(1 + 2 + .. + 10) + 11 + 12 + .. + 500] - (1 + 2 + .. + 10)

= 500x501 : 2 - 10x11 : 2

= 125250 - 55

= 125195