已知数列{an}满足an^2-an-1^2=1,an>0,且a1,a2,a4成等比数列.(1)求通项公式{an}(2)设bn=1/(an+1+an),数列{bn}的前n项和为Tn.是否存在最大的正整数a是的a(Tn+1)-5

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