数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于
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![数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于](/uploads/image/z/2095388-44-8.jpg?t=%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3a1%3D2%2Ca%28n%2B1%29%3D-1%2F%28an%2B1%29%2C%E5%88%99a2010%E7%AD%89%E4%BA%8E)
数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于
数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于
数列{an}满足a1=2,a(n+1)=-1/(an+1),则a2010等于
可以递推一下 a2=-1/(a1+1)=-1/3
a3=-1/(a2+1)=-3/2
a4=-1/(a3+1)=2
所以这个数列是周期数列 周期为3
a2010=a3=-3/2
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