巧算1/2*1/3+1/3*1/4+1/4*1/5+……+1/2006*1/2007+1/2007*1/2008

来源:学生作业学帮网 编辑:学帮网 时间:2024/06/04 09:47:31

巧算1/2*1/3+1/3*1/4+1/4*1/5+……+1/2006*1/2007+1/2007*1/2008

1/2*1/3+1/3*1/4+1/4*1/5+……+1/2006*1/2007+1/2007*1/2008
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2006-1/2007+1/2007-1/2008
=1/2-1/2008
=1003/2008

1/2*1/3+1/3*1/4+1/4*1/5+……+1/2006*1/2007+1/2007*1/2008
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2006-1/2007+1/2007-1/2008
=1/2-1/2008
=2088KHNJ

1/2*1/3+1/3*1/4+1/4*1/5+……+1/2006*1/2007+1/2007*1/2008
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2006-1/2007+1/2007-1/2008
=1/2-1/2008
=1003/2008 记得选我哦