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数列{an}的n项和为Sn的前n项和Sn=3n^2-2n,bn=3/an*an+1求{bn}的前n项
人气:139 ℃ 时间:2019-10-23 04:21:39
解答
Sn=3n²-2n,则:当n=1时,a2=S1=1;当n≥2时,an=Sn-S(n-1)=6n-5因n=1也满足,则:an=6n-5bn=3/[an(an+1)]=3/[(6n-5)(6n+1)]=(1/2)[1/(6n-5)-1/(6n+1)]则数列{bn}的前n项和Tn=(1/2)[1/1-1/(6n+1)]=(3n...
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