作业帮 > 数学 > 作业

计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2010-1/2009|.

来源:学生作业帮 编辑:灵鹊做题网作业帮 分类:数学作业 时间:2024/05/14 11:16:17
计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2010-1/2009|.
计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2010-1/2009|.
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+...+1/2009-1/2010
=1/2-1/2010
=1004/2010
=502/1005