设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围

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设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围设等比数列an的公比为q,前n项和为

设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围
设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围

设等比数列an的公比为q,前n项和为Sn,a1>0,若S2>2a3,求q的取值范围
S2=a1+a2=a1+a1*q
S2>2a3
a1+a1*q>2a1*q*q
1+q>2q^2
2q^2-q-1

a1+a1q>2a1q^2
2q^2-q-1<0
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