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两等差数列{an}.{bn}的前n项和的比Sn/S'n=5n+3/2n+7,则a5/b5的值是?
题目详情
两等差数列{an}.{bn}的前n项和的比Sn/S'n=5n+3/2n+7,则a5/b5的值是?
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答案和解析
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
=(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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