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

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 22:26:37
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

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
-1/2不懂的欢迎追问,如有帮助请采纳,谢谢!