若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于
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若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于
若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于
若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于
a(n+3)=1-1/a(n+2)=1-a(n+1)/(a(n+1)-1)=-1/(a(n+1)-1)=an,因此{an}以3为周期,故a2011=a(670*3+1)=a1=2;
代几个进去会发现这个数列是有周期的
a1=2,a2=1/2 , a3= -1 , a4 =2=a1 ,a5=a2,...
a2011=a1=2
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若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于
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