等比数列的前n项和为Sn,且4a1,2a2,a3成等差数列.若a1=1则S4等于

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等比数列的前n项和为Sn,且4a1,2a2,a3成等差数列.若a1=1则S4等于
等比数列的前n项和为Sn,且4a1,2a2,a3成等差数列.若a1=1则S4等于

等比数列的前n项和为Sn,且4a1,2a2,a3成等差数列.若a1=1则S4等于
4a1,2a2,a3成等差数列
4a2=4a1+a3
4a1q=4a1+a1q^2
4q=4+q^2
q^2-4q+4=0
(q-2)^2=0
q=2
s4=a1(1-q^4)/(1-q)
=(1-2^4)/(1-2)
=15

15

2a2-4a1=a3-2a2
2q-4=q^2-2q
q^2-4q 4=0
q=2
a1=1 a2=2 a3=4 a4=8
s4=1 2 4 8=15

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