1/3+1/6+1/10+2/x.(x+1)=2010/1006
1/6+1/12+1/20+1/x.(x+1)=2010/2012
1/2.3+1/3.4+1/4.5+1/x.(x+1)=1005/1006
1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/x.(x+1)=1005/1006
1/2 - 1/5 + 1/x.(x+1)=1005/1006
3/10+1/x.(x+1)=1005/1006
1/x.(x+1)=1005/1006 - 3/10
1/x.(x+1)=1758/2515
x.(x+1)=1:1758/2515
x.(x+1)=2515/1758
Đến đây thì mình chịu òi!