中福会少年宫学费:1/1*2+1/2*3+1/3*4+...+1/2000*2001

来源:百度文库 编辑:高校问答 时间:2024/04/29 23:31:01
怎么算呀??帮帮忙..!!THX

原式=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001

=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001

=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)=1-1/2001=2000/2001