若任意正整数n都 ,a1+aa2+a3+······+aa=n,则1/a2-1+1/a3-1+``````+1/a100-1=

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若任意正整数n都 ,a1+aa2+a3+······+aa=n,则1/a2-1+1/a3-1+``````+1/a100-1=

若任意正整数n都 ,a1+aa2+a3+······+aa=n,则1/a2-1+1/a3-1+``````+1/a100-1=
若任意正整数n都 ,a1+aa2+a3+······+aa=n,则1/a2-1+1/a3-1+``````+1/a100-1=

若任意正整数n都 ,a1+aa2+a3+······+aa=n,则1/a2-1+1/a3-1+``````+1/a100-1=
a1-1+a2-1+···+an-1=n²-n(1/a1-1+1/a2-1+···+1/a100-1)*100²-100=(a2-1+a3-1+···+a100-1)+(a1-1+a3-1+···+a100-1)+........+(a1-1+a3-1+···+a99-1)=99*100²原式=(99*100²)/(100²-100)=100

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