
已知数列{an}中,a1=0,an>0,且(n+1)(a(n+1))-nan∧2+an*a(n+1)=0,求an
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(n+1)a(n+1)^2-nan^2+ana(n+1)=0
((n+1)a(n+1)-nan)(a(n+1)+an)=0
a(n+1)/an=n/(n+1)累积有an/a1=1/n
an=1/n
((n+1)a(n+1)-nan)(a(n+1)+an)=0
a(n+1)/an=n/(n+1)累积有an/a1=1/n
an=1/n
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