A= 50+ 50/3+25/3+20/4+10/3+100/6.7+…+100/98.99+1/99

A= 50+ 50/3+25/3+20/4+10/3+100/6.7+…+100/98.99+1/99

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  1. Đáp án:

    `A=99`

    Giải thích các bước giải:

    `A=50+ 50/3+25/3+20/4+10/3+100/6.7+…+100/98.99+1/99`

    `A=100/2+100/6+100/12+100/20+100/30+100/6.7+…+100/98.99+100/99.100`

    `A=100/1.2+100/2.3+100/3.4+100/4.5+100/5.6+100/6.7+…+100/98.99+100/99.100`

    `A/100=1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6.7+…+1/98.99+100/99.100`

    `A/100=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+…+1/98-1/99+1/99-1/100`

    `A/100=1-1/100`

    `A=100(1-1/100)`

    `A=100-1`

    `A=99`

    Vậy `A=99`.

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  2. $#Na KaZa$

    Đáp án:

     `A=99`

    Giải thích các bước giải:

    `A= 50+ 50/3+25/3+20/4+10/3+100/6.7+…+100/98.99+1/99`

    `A=100/1.2+100/2.3+100/3.4+100/4.5+100/5.6+100/6.7+…+100/98.99+100/99.100`
    `A : 100=1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6.7+…+1/98.99+100/99.100`
    `A/100=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+…+1/98-1/99+1/99-1/100`
    `A/100 = 1/1 – 1/100`
    `A/100 = 99/100`
    `A=99/(100).100`
    `A=99`

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