设Sn是等比数列an的前n项和S3.S9.S6成等差数列,求a3.a9.a6成等差数列
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设Sn是等比数列an的前n项和S3.S9.S6成等差数列,求a3.a9.a6成等差数列
设Sn是等比数列an的前n项和S3.S9.S6成等差数列,求a3.a9.a6成等差数列
设Sn是等比数列an的前n项和S3.S9.S6成等差数列,求a3.a9.a6成等差数列
S3+S6=2S9
(a1-a3*q)/(1-q)+(a1-a6*q)/(1-q)=2(a1-a*q)/(1-q)
a1-a3*q+a1-a6*q=2(a1-a9*q)
(a3+a6)*q=2a9*q
a3+a6=a9*2
a3.a9.a6成等差数列
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