(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/2005)
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(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/2005)(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/200
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/2005)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/2005)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(-1/2004×1/2005)
原式
=(-1的2004次方)*(1×1/2)+(1/2×1/3)+(1/3×1/4)+...+(1/2004×1/2005)
=(1×1/2)+(1/2×1/3)+(1/3×1/4)+...+(1/2004×1/2005)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2004-1/2005)
=1-1/2005
=2004/2005
-1
由式子 1/n-1/(n+1)=1/n(n+1)
该式可以将每个括号里的 - 提取出来
就成了-[1×1/2+1/2×1/3...+1/2004×1/2005]=-(1-1/2005)=-2004/2005
(1/2+1/3+...+1/2004)(1+1/2+1/3+...+1/2003)-(1+1/2+1/3+...+1/2004)(1/2+1/3+...+1/2003)
计算:(1/2+1/3+...+1/2011)*(1+1/2+1/3+...+1/2010)-(1+1/2+1/3+...+1/2011)*(1/2+1/3+...+1/2010)
计算(1-1/2-1/3-...-1/2010)*(1/2+1/3+..+1/2011)-(1-1/2-1/3-...-1/2011)*(1/2+1/3+...+1/2010)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
(1-1/2^2)(1-1/3^2)K(1-1/10^2)
(1/2+1/3+...+1/2007)*(1+1/2+1/3+...+1/2006)-(1+1/2+1/3+...+/2007)*(1/2+1/3+...+1/2006)
计算:(-1)-[1-(1-1/2*1/3)]*6
计算!(-1)-[1-(1-1/2*1/3)]*6
200*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/100)
(1/1+2)+(1/1+2+3)+…+(1/1+2+3…+2000)
2000*(1-1/2)*(1-1/3)*.*(1-1/1999)*(1-1/2000)
(1-1/2004)(1-2003)(1-2002)…(1-1/3)(1-1/2)
(1-1/2)(1-1/3)(1-1/4).(1-1/100)
(1/2+1/3+...+1/2004)(1+1/2+...+1/2003)-(1+1/2+..+1/2004)(1/2+1/3+..+1/2003)
(1-2/1)*(1-3/1)*(1-4/1)*.*(1-2007/1)*(1-2008/1)
(1/2014-1)(1/2013-1)(1-2012-1)...(1/3-1)(1/2-1)
1/1+1/(1+2)+1/(1+2+3)+.+1/(1+2+3+.+100)不用计算器
(1/3m-1/2)^2