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Home/ Questions/Q 3710
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Ân Thái
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Ân TháiTeacher
Asked: Tháng Sáu 17, 20232023-06-17T09:17:02+00:00 2023-06-17T09:17:02+00:00

a,(1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x….x(1-1/2003)x(1-1/2004) b,1/8+1/24+1/48+….+1/9800 c,1/2+1/4+1/8+1/16+….+1/512+1/1021

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a,(1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x….x(1-1/2003)x(1-1/2004)
b,1/8+1/24+1/48+….+1/9800
c,1/2+1/4+1/8+1/16+….+1/512+1/1021

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  1. Hoàng Minh
    Hoàng Minh Teacher
    2023-06-17T09:17:02+00:00Added an answer on Tháng Sáu 17, 2023 at 9:17 am

    ơia,(1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x….x(1-1/2003)x(1-1/2004)

     =1/2×2/3×3/4×4/5x…….x2002/2003×2004

    =$\frac{1x2x3x4x…x2002x2003}{2x3x4x5x….x2003x2004}$ 

    =$\frac{1}{2004}$ 

    b,c=1/8+1/24+1/48+….+1/9800

     cx2=$\frac{2}{8}$+$\frac{2}{24}$ +…….+$\frac{1}{9800}$ 

     cx2=$\frac{2}{2×4}$+$\frac{2}{4×6}$+……+$\frac{2}{9800}$ 

     cx2=$\frac{1}{2}$-$\frac{1}{4}$+$\frac{1}{4}$-$\frac{1/6}{y}$+…….+$\frac{`1}{98}$-$\frac{1}{100}$

     cx2=$\frac{1}{2}$-$\frac{1}{100}$

     cx2=$\frac{49}{100}$ 

     c=$\frac{49}{100}$ :2

     C=$\frac{49}{200}$ 

    c,1/2+1/4+1/8+1/16+….+1/512+1/1024

    Bx2=1+($\frac{1}{2}$+$\frac{1}{4}$ +$\frac{1}{8}$ +……+$\frac{1}{512}$+$\frac{1}{1024}$)-$\frac{1}{1024}$ 

     Bx2=1+B-$\frac{1}{1024}$ 

     B=1-$\frac{1}{1024}$ 

     B=$\frac{1023}{1024}$ 

    Chúc bạn học tốt<3

     

     

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