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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: 1/1.2+1/2.3+1/3.4+1/4.5+=+1/x(x+1)=1000/1001 giúp tuiiii

Toán Lớp 6: 1/1.2+1/2.3+1/3.4+1/4.5+…………+1/x(x+1)=1000/1001
giúp tuiiii

Comments ( 2 )

  1. Giải đáp:
    1/1.2+1/2.3+1/3.4+1/4.5+…………+1/x(x+1)=1000/1001
    =1-1/2+1/2-1/3+1/3+…+1/x+1=1000/1001
    ⇔1-1/x+1=1000/1001
    ⇔1/x+1=1- 1000/1001
    ⇔1/x+1=1/1001
    ⇔x+1=1001
    ⇔x=1001-1
    ⇒x=1000

  2. Giải đáp:
    x=1000
    Lời giải và giải thích chi tiết:
    1/1.2+1/2.3+1/3.4+1/4.5+…………+$\frac{1}{x(x+1)}$ =1000/1001
    =1-1/2+1/2-1/3+1/3+…+$\frac{1}{x(x+1)}$ =1000/1001
    ⇔1-$\frac{1}{x(x+1)}$ =1000/1001
    ⇔$\frac{1}{x(x+1)}$ =1- 1000/1001
    ⇔$\frac{1}{x(x+1)}$ =1/1001
    ⇔x+1=1001
    ⇔x=1001-1
    ⇒x=1000

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222-9+11+12:2*14+14 = ? ( )