作业帮|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/07 00:59:17
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2009-1/2010
=1/2-1/2010
=(1005-1)/2010
=1004/2010
=502/1005