已知数列an满足a1=0 an+1=an-根号3/根号3an+1 则a2010的值为
人气：477 ℃ 时间：2019-08-19 02:21:52
解答
a2=(a1-√3)/(√3a1+1)=-√3
a3=(a2-√3)/(√3a2+1)=-2√3/(-2)=√3
a4=(a3-√3)/(√3a3+1)=(√3-√3)/4=0
……
规律：从a1开始,按0,-√3,√3循环,每3个循环一次.
2010/3=670,正好循环670次.
a2010=√3
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