(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1=几

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(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1=几

(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1=几
(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1=几

(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1=几
(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1
=3分之1×[1-¼+¼-1/7+……+1/31-1/34]
=3分之1×(1-1/34)
=3分之1×33/34
=11/34

(1乘4)分之1+(4乘7)分之1+...(31乘34)分之1
=1/(4×1)+1/(7×4)+...+1/(34×31)
=(1/3)(1-1/4+1/4-1/7+...+1/31-1/34)
=(1/3)(1-1/34)
=11/34;