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帮个忙、哥哥姐姐们!计算|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+…+|1/2006-1/2004|+

来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/11/01 06:53:46
帮个忙、哥哥姐姐们!计算|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+…+|1/2006-1/2004|+|1/2008+1/2006| 帮个忙
计算:|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+…+|1/2006-1/2004|+|1/2008+1/2006|=?
|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+.+|1/2006-1/2004|+|1/2008-1/2006|
=|1/2-1/4|+|1/4-1/4|+|1/6-1/8|+.+|1/2004-1/2006|+|1/2006-1/2008|
=1/2-1/4+1/4-1/6+1/6-1/8+……+1/2004-1/2006+1/2006-1/2008
=1/2-1/2008
=1003/2008.