已知{an}为等比数列,若a8/a4=2,S4=4,则S8的值
人气:153 ℃ 时间:2020-05-28 06:42:49
解答
∵a8/a4=(a1q^7)/(a1q^3)=q^4=2
∴S4=[a1(1-q^4)]/(1-q)=-a1/(1-q)=4
∴a1=-4(1-q)
S8=[a1(1-q^8)]/(1-q) = {-4(1-q)[1-(q^4)^2]}/(1-q) = -4(1-2^2) = 12
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