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1-1/2-1/4-1/8-...1/128-1/256麻烦你们帮忙算2005*2003/2004+1/2004,
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1-1/2-1/4-1/8-...1/128-1/256
麻烦你们帮忙算2005*2003/2004+1/2004,
麻烦你们帮忙算2005*2003/2004+1/2004,
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答案和解析
1-1/2-1/4-1/8-...1/128-1/256
=1/2-1/4-1/8-...1/128-1/256
=1/4-1/8-...1/128-1/256
=...
=1/128-1/256
=1/256
2005*2003/2004+1/2004
=(2005*2003+1)/2004
=2004²/2004
=2004
↓
=1/2-1/4-1/8-...1/128-1/256
=1/4-1/8-...1/128-1/256
=...
=1/128-1/256
=1/256
2005*2003/2004+1/2004
=(2005*2003+1)/2004
=2004²/2004
=2004
↓
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