学帮网1/6+1/12+1/20+1/30+.+1/2005*2006 计算题
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/20 03:51:55
1/6+1/12+1/20+1/30+.+1/2005*2006 计算题
=1/2*3+1/3*4+……+1/2005*2006
=1/2-1/3+1/3-1/4+……+1/2005-1/2006
=1/2-1/2006
=501/1003
原式=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/2005-1/2006)
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2005-1/2006
=1/2-1/2006
=1002/2006
=501/1003