计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002

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计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/

计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002
计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002

计算1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002
1/n+2/n+.+(n-1)/n=(n-1)/2
1/2+(1/3+2/3)+(1/4+2/4+3/4)+…+(1/2002+2/2002+…+2001/2002
=(1+2+.+2001)/2
=(1+2001)×2001÷(2×2)
=2003001/2