等差数列{An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.等差数列｛An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.

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等差数列{An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.等差数列｛An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.

等差数列{An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.等差数列｛An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.
等差数列{An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.
等差数列｛An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.

等差数列{An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.等差数列｛An},{Bn}的前n项和分别为Sn与Tn.若Sn/Tn=2n/(3n+1),则An/Bn=____.
Sn/Tn=2n/(3n+1),即
S(2n-1)/T(2n-1)=2(2n-1)/[3(2n-1)+1]=(2n-1)/(3n-1),即
[A1+A（2n-1）]/[B1+B(2n-1)]=(2n-1)/(3n-1),即
2An/2Bn=(2n-1)/(3n-1),
An/Bn=(2n-1)/(3n-1)

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