Question

Alguien que me ayude por fassss​

Answer 1

Respuesta:

Explicación paso a paso:

1/(3×6)=1/(3×3)×1/(1×2)=1/9×1/(1×2)=1/9×[1/1-1/2]

1/(6×9)=1/(3×3)×1/(2×3)=1/9×1/(2×3)=1/9×[1/2-1/3]

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1/(30×33)=1/(3×3)×1/(10×11)=1/9×1/(10×11)=1/9×[1/10-1/11]

S=1/(3×6)+1/(6×9)+.....+1/(30×33)

S=1/9×[1/1-1/2]+1/9×[1/2-1/3]+ ..... +1/9×[1/9-1/10]+1/9×[1/10-1/11]

S=1/9×[1/1-1/2+1/2-1/3+1/3-1/4+ .... +1/9-1/10+1/10-1/11] cancelación de opuestos

S=1/9×[1/1-1/11]

S=1/9×[(11-1)/(1×11)]

S=1/9×10/11

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Respuesta

S=10/99