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计算,化简SOS计算1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)+.+1/(a+2004)(a+

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计算,化简SOS
计算1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)+.+1/(a+2004)(a+2005)
计算,化简SOS计算1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)+.+1/(a+2004)(a+
1/a(a+1)=1/a-1/(1+a)
1/(a+1)(a+2)=1/(1+a)-1/(2+a)
1/a(a+1)+1/(a+1)(a+2)+1/(a+2)(a+3)+.+1/(a+2004)(a+2005)
=1/a-1/(a+2005)