等比数列的公比为q,前n项和,成等差数列则公比为多少

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等比数列的公比为q,前n项和,成等差数列则公比为多少
等比数列的公比为q,前n项和,成等差数列则公比为多少

等比数列的公比为q,前n项和,成等差数列则公比为多少
当q≠1时,Sn=(1-q的n次方)/1-q,若此时成等差数列,S1+S3=2S2 , 解得q²=q,即q=0或1 矛盾,所以q=1

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等于正负一

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