有2个数学题用简便做大哥大姐帮帮忙!⑴1/(1*)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)⑵1/(2*7)+1/(7*12)+1/(12*17)·····+1/(92*97)+1/(97+102)

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有2个数学题用简便做大哥大姐帮帮忙!⑴1/(1*)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)⑵1/(2*7)+1/(7*12)+1/(12*17)·····

有2个数学题用简便做大哥大姐帮帮忙!⑴1/(1*)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)⑵1/(2*7)+1/(7*12)+1/(12*17)·····+1/(92*97)+1/(97+102)
有2个数学题用简便做大哥大姐帮帮忙!
⑴1/(1*)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)
⑵1/(2*7)+1/(7*12)+1/(12*17)·····+1/(92*97)+1/(97+102)

有2个数学题用简便做大哥大姐帮帮忙!⑴1/(1*)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)⑵1/(2*7)+1/(7*12)+1/(12*17)·····+1/(92*97)+1/(97+102)
分数裂项
1/(1*5)+1/(3*5)+1/(5*7)+······+1/(1995*1997)+1/(1997*1999)
=(1/1-1/1999)*(1/2)
=999/1999
1/(2*7)+1/(7*12)+1/(12*17)·····+1/(92*97)+1/(97+102)
=(1/2-1/102)*(1/5)
=5/51

如果你条题没有打错的话,那根本没有简便方发

1 原式=1/2(1-1/3+1/3-1/5+……+1/1997-1/1999)=1/2(1-1/1999)=999/1999
2 原式=1/5(1/2-1/7+……+1/97-1/102)=1/5(1/2-1/102)=5/51

1个好象不对 2 1/5【(1/2-1/7)+(1/7-1/12)+......+(1/97-1/102)]=5/56