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

Toán Lớp 5: (1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x-x(1-1/2003)x(1-1/2004

Toán Lớp 5: (1-1/2)x(1-1/3)x(1-1/4)x(1-1/5)x….x(1-1/2003)x(1-1/2004

Comments ( 2 )

  1. (1-1/2)xx(1-1/3)xx(1-1/4)xx…xx(1-1/2003)xx(1-1/2004)
    =1/2xx2/3xx3/4xx…xx2002/2003xx2003/2004
    ={1xx2xx3xx4xx…xx2002xx2003}/{2xx3xx4xx5xx…xx2003xx2004}
    ={1xx1xx1xx…xx1xx1}/{1xx1xx1xx…xx2004}
    =1/2004

  2. Giải đáp + Lời giải và giải thích chi tiết:
    (1-1/2)xx(1-1/3)xx(1-1/4)xx(1-1/5)xx…xx(1-1/2003)xx(1-1/2004)
    =(2/2-1/2)xx(3/3-1/3)xx(4/4-1/4)xx(5/5-1/5)xx…xx(2003/2003-1/2003)xx(2004/2004-1/2004)
    =1/2xx2/3xx3/4xx4/5xx…xx2002/2003xx2003/2004
    =(1xx2xx3xx4xx…xx2002xx2003)/(2xx3xx4xx5xx…xx2004)
    =1/2004
     

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

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