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an是等比数列,a3*a11=6,bn是等差数列,b7=a7,求b5+b9

题目详情
an是等比数列,a3*a11=6,bn是等差数列,b7=a7,求b5+b9
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答案和解析
a3·a11=4a7 a1q^2*a1q^10=4a1q^6 a1^2q^12=4a1q^6 a1q^6=4=a7=b7 b5+b9 =b1+4+b1+8d =2b1+12d =2(b1+6d) =2b7 =2*4 =8