determinati numerele abcd barat cu proprietatea ca 3+6+9+...+abcd barat=abcd000 barat
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determinati numerele abcd barat cu proprietatea ca 3+6+9+...+abcd barat=abcd000 barat
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3(1+2+3+....+abcd/3)=abcd*1000
notam abcd barat supra 3 cu x ca sa ne fie mai usor la scris
3(1+2+3+....+x)=1000x
aplicam suma lui Gauss
3*x(x+1)/2=1000x
3*x(x+1)=2000x
impartim toata relatia prin x
3(x+1)=2000
x+1=2000/3
x=1997/3
revenim la notatie
abcd barat/3=1997/3
abcd=1997
mie imi da un singur numar