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a1/b1=1/3，b1=3a1①
(2a1+d1)/(2b1+d2)=2/5
2(6a1+d2)=5(2a1+d1)
2a1+2d2=5d1②
(3a1+3d1)/(3b1+3d2)=3/7
7(a1+d1)=3(3a1+d2)
2a1+3d2=7d1③
②③联立5d1-2d2=7d1-3d2
d2=2d1代入②得2a1=d1
d2=2d1=4a1=4b1/3
a5/b6=(a1+4d1)/(b1+5d2)
=9a1/(1+20/3)b1
=3/(1+20/3)
=9/23
(2a1+d1)/(2b1+d2)=2/5
2(6a1+d2)=5(2a1+d1)
2a1+2d2=5d1②
(3a1+3d1)/(3b1+3d2)=3/7
7(a1+d1)=3(3a1+d2)
2a1+3d2=7d1③
②③联立5d1-2d2=7d1-3d2
d2=2d1代入②得2a1=d1
d2=2d1=4a1=4b1/3
a5/b6=(a1+4d1)/(b1+5d2)
=9a1/(1+20/3)b1
=3/(1+20/3)
=9/23
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