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a fost răspuns

1/99+2/99-3/99+4/99+5/99-6/99+......+199/99+200/99-201/99=

Răspuns :

Renatemambouko
1/99+2/99-3/99+4/99+5/99-6/99+......+199/99+200/99-201/99=
=(1/99+2/99-3/99)+(4/99+5/99-6/99)+......+(199/99+200/99-201/99)=
=(0+3+6+.....+198)/99=3(1+2+...+66)/99=(3×66×67)/(99×2)=3×33×67/99=67

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