1-1/2+1/3-1/4+.-1/1000+1/1001=

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1-1/2+1/3-1/4+.-1/1000+1/1001=1-1/2+1/3-1/4+.-1/1000+1/1001=1-1/2+1/3-1/4+.-1/1000+1/1001=wobuhuizai

1-1/2+1/3-1/4+.-1/1000+1/1001=
1-1/2+1/3-1/4+.-1/1000+1/1001=

1-1/2+1/3-1/4+.-1/1000+1/1001=
wobuhuizaijisuanjishangxieshuxuefuhao,zhihaoshuoguochengle!
此题即{1+1/3+1/5+1/7..+1/999-(1/2+1/4+
1/6..+1/1000)}+1/1001
即:2n-1fenzhiyide和减去2nfenzhiyidehe,
恩是500.
用等差数列公式那章的三个补充公式求得.