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已知等比数列an前n项和为Sn,S4=-20,S8=-1640,求a1和q
人气:493 ℃ 时间:2020-07-16 06:06:17
解答
设s=a1(1-q^n)/(1-q),
则s4=a1(1-q^4)/(1-q)=-20
s8=a1(1-q^8)/(1-q)=-1640
s4/s8=(1-q^4)/(1-q^8)=1/82
(1+q^4)=82
q=3,或q=-3
a1=-1/2 或a1=1
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