(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)这道题怎么做
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![(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)这道题怎么做](/uploads/image/z/3741964-52-4.jpg?t=%281-1%2F2004%29%2B%282-1%2F2004%2A2%29%2B%283-1%2F2004%2A3%29%2B.%2B%282004-1%2F2004%2A2004%29%E8%BF%99%E9%81%93%E9%A2%98%E6%80%8E%E4%B9%88%E5%81%9A)
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)这道题怎么做
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)
这道题怎么做
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)这道题怎么做
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)
=
(1-1/2004)+2×(1-1/2004)+3×(1-1/2004)+.+2004×(1-1/2004)
=(1+2+...+2004)×(1-1/2004)
=(1+2004)×2004÷2×2003/2004
=2005×2003÷2
=2008007.5