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问题: 等差数列{an}与{bn},它们的前n项之和分别为Sn与Sn',如果Sn/Sn'=7n+1/4n+2

等差数列{an}与{bn},它们的前n项之和分别为Sn与Sn',如果Sn/Sn'=7n+1/4n+27,则a11/b11=

解答:

等差数列{an}与{bn},它们的前n项之和分别为Sn与Sn',如果Sn/Sn'=7n+1/4n+27,则a11/b11=
解:a11/b11=
2a11/2b11=
(a1+a21)/(b1+b21)=
n(a1+a21)/n(b1+b21)=
[n(a1+a21)/2]/[n(b1+b21)/2]=
S21/S21'=
(7*21+1)/(4*21+27)=
148/111=
4/3