解方程1/2+1/6+1/12+1/20+1/x(x+1)=2011/2012
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解方程1/2+1/6+1/12+1/20+1/x(x+1)=2011/2012
解方程1/2+1/6+1/12+1/20+1/x(x+1)=2011/2012
解方程1/2+1/6+1/12+1/20+1/x(x+1)=2011/2012
1/2+1/6+1/12+1/20+1/x(x+1)=2011/2012
1-1/2+1/2-1/3+1/3-1/4+……+1/x-1/(x+1)=2011/2012
1-1/(x+1)=2011/2012
1-2011/2012=1/(x+1)
x+1=2012
x=2011
1/2+1/6+1/12+1/20+...+1/x(x+1)=2011/2012
1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/x-1/(x+1)=2011/2012
1-1/(x+1)=2011/2012
1/(x+1)=1/2012
x+1=2012
x=2011