计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 03:05:47
计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!

计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!
计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!

计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|急!
|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|+...+|1/2-1|
=(1/2010-1/2011)+(1/2009-1/2010)+……+(1-1/2)
=-1/2011+1/2010-1/2010+1/2009+...-1/2+1
=-1/2011+1
=2010/2011

=1/2010-1/2011+1/2009-1/2010+……+1-1/2
=1-1/2011
=2010/2011