已知数列{an},{bn}满足a1=2,2an=1+anan+1,bn=an-1
题型:解答题
问题:
已知数列{an},{bn}满足a1=2,2an=1+anan+1,bn=an-1,数列{bn}的前n项和为Sn,Tn=S2n-Sn. (1)求证:数列{
(2)求证:Tn+1>Tn; (3)求证:当n≥2时,S2n≥
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已知数列{an},{bn}满足a1=2,2an=1+anan+1,bn=an-1,数列{bn}的前n项和为Sn,Tn=S2n-Sn. (1)求证:数列{
(2)求证:Tn+1>Tn; (3)求证:当n≥2时,S2n≥
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