1+(1/2-1)+(1/4-1/3)+(1/5-1/4)+……+(1/2009-1/2008)+(1/2010+1/2009) 简便计算啊

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 16:41:44

1+(1/2-1)+(1/4-1/3)+(1/5-1/4)+……+(1/2009-1/2008)+(1/2010+1/2009) 简便计算啊
1+(1/2-1)+(1/4-1/3)+(1/5-1/4)+……+(1/2009-1/2008)+(1/2010+1/2009) 简便计算啊

1+(1/2-1)+(1/4-1/3)+(1/5-1/4)+……+(1/2009-1/2008)+(1/2010+1/2009) 简便计算啊
1+(1/2-1)+(1/4-1/3)+(1/5-1/4)+……+(1/2009-1/2008)+(1/2010+1/2009)
=1-1+1/2-1/2+1/3+……+1/2008-1/2009+1/2009+1/2010
=1/2010