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a fost răspuns

x+2x+3x-4x+......+99x-100x
[tex] (x + 2x - 3x) + (4x + 5x - 6x) + ..... + (97x + 98 - 99x)[/tex]

Răspuns :

Sabinacozmei2
X-2x+3x-4x+......+99x-100x=(x-2x)+(3x-4x)+...(99x-100x)=(-x)·50=-50x

(x+2x-3x)+(4x+5x-6x)+...+(97x+98x-99x)=(x+2x-3x)+(x+2x-3x+3x+3x-3x)+...+(x+2x-3x+96x+96x-96x)=(x+2x-3x)+(x+2x-3x+3x)+(x+2x-3x+96x)=3x+6x+...+96x=3x(1+2+...+32)=3x*32*33:2=99x*16=1584x


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