2003/1+2003/2+2103/3+······+2003/4005

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2003/1+2003/2+2103/3+······+2003/40052003/1+2003/2+2103/3+······+2003/40052003/1+2003/2+2103/3+·····

2003/1+2003/2+2103/3+······+2003/4005
2003/1+2003/2+2103/3+······+2003/4005

2003/1+2003/2+2103/3+······+2003/4005
=(1 2 3 …… 4005)*1/2003
=(1 4005)*4005/2*1/2003
=4005