I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+…+I1/2010-1/2009I=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 07:45:06
I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+…+I1/2010-1/2009I=

I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+…+I1/2010-1/2009I=
I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+…+I1/2010-1/2009I=

I1/3-1/2I+I1/4-1/3I+I1/5-1/4I+…+I1/2010-1/2009I=
|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