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+](/uploads/image/z/19056653-53-3.jpg?t=%E8%AE%A1%E7%AE%97%2C%E5%8C%96%E7%AE%80SOS%E8%AE%A1%E7%AE%971%2Fa%28a%2B1%29%2B1%2F%28a%2B1%29%28a%2B2%29%2B1%2F%28a%2B2%29%28a%2B3%29%2B.%2B1%2F%28a%2B2004%29%28a%2B)
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)
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)