已知数列{an}中,a1=-1,且n(an+1-an)=2-an+1(n∈N*),现给出下列4个结论

已知数列{an}中,a1=-1,且n(an+1-an)=2-an+1nN*),现给出下列4个结论:

①数列{an}是递增数列;

②数列{an}是递减数列;

③存在nN*,使得(2-a1)+(2-a2)++(2-an)>2016

④存在nN*,使得(2-a1)2+(2-a2)2++(2-an)2>2016

其中正确的结论的序号是__________(请写出所有正确结论的序号).

答案

①③

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