等比数列{an}中,(1)已知q=1/2,S4=15/4,求a1与a4; (2)已知a1=2,S3=26,求q与a3;

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等比数列{an}中,(1)已知q=1/2,S4=15/4,求a1与a4; (2)已知a1=2,S3=26,求q与a3;

等比数列{an}中,(1)已知q=1/2,S4=15/4,求a1与a4; (2)已知a1=2,S3=26,求q与a3;
等比数列{an}中,(1)已知q=1/2,S4=15/4,求a1与a4; (2)已知a1=2,S3=26,求q与a3;

等比数列{an}中,(1)已知q=1/2,S4=15/4,求a1与a4; (2)已知a1=2,S3=26,求q与a3;
(1)S4 = a1(1-q^4)/(1-q) = a1(1-1/16)/(1-1/2) = 15a1/8 = 15/4
所以a1 = 2
a4 = a1q^3 = 2*(1/2)^3 = 1/4
(2)S3 = a1(1-q^3)/(1-q) = 2(1+q+q^2) = 26
q = -4或3
所以a3 = 32(q=-4),或a3 = 18(q=-3)