若两等差数列an,bn的前n项和的比sn:sn'=5n+3/2n+7,则a5:b5

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若两等差数列an,bn的前n项和的比sn:sn'=5n+3/2n+7,则a5:b5
若两等差数列an,bn的前n项和的比sn:sn'=5n+3/2n+7,则a5:b5

若两等差数列an,bn的前n项和的比sn:sn'=5n+3/2n+7,则a5:b5
Sn/Sn'=(5n+3)/(2n+7) S9/T9=48/25 又:a1+a9=a2+a8=…=2a5;b1+b9=b2+b8=,=2b5 S9=a1+a2+…+a9=9a5;S9'=b1+b2+…+b9=9b5 故:S9/S9'=9a5/9b5=48/25 故:a5/b5=48/25

a5/b5 =(a5+a5)/(b5+b5) =(a1+a9)/(b1+b9) =[(a1+a9)×9÷2]/[(b1+b9)×9÷2] =S9/S'9 =(5×9+3)/(2×9+7) =48/25

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