(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)求在一小时内解答!
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![(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)求在一小时内解答!](/uploads/image/z/5912698-58-8.jpg?t=%EF%BC%881-1%2F2004%EF%BC%89%2B%EF%BC%882-1%2F2004%2A2%EF%BC%89%2B%EF%BC%883-1%2F2004%2A3%EF%BC%89%2B.%2B%EF%BC%882004-1%2F2004%2A2004%EF%BC%89%E6%B1%82%E5%9C%A8%E4%B8%80%E5%B0%8F%E6%97%B6%E5%86%85%E8%A7%A3%E7%AD%94%21)
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)求在一小时内解答!
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)
求在一小时内解答!
(1-1/2004)+(2-1/2004*2)+(3-1/2004*3)+.+(2004-1/2004*2004)求在一小时内解答!
还好,挺简单的
原式=(1+2+3+4+……+2004)-(1/2004+1/2004*2+……+1/2004^2)
=2005*2004/2-1/2004*(1+1/2+1/3+1/4……+1/2004) (这个式子只能算近似值了,你可以百度下,这个答案是1+1/2+1/3……+1/n=ln(n)+C,C为欧拉常数)
约=2005*1002-1/2004*8.18
约=2009009.996