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{}为等差数列,并求通项bn; (2)求证:Tn+1>Tn; (3)求证:当n≥2时,S2n≥. |
与“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{1bn}为等差数列,并求通项bn;(2)求证:Tn+1>Tn;(3)求证:当n≥2时,S2”考查相似的试题有: