设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为

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设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为设等比数列an的前n项和为S

设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为
设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为

设等比数列an的前n项和为Sn,若S5,S4,S6成等差数列,则数列an的公比q的值为
a1(1-q5)/1-q + a1(1-q6)/1-q = 2a1(1-q4)/1-q
(a1-a1q5+ a1-a1q6)/1-q = (2a1-2a1q4)/1-q
2a1-a1q5-a1q6 = 2a1-2a1q4
2a1q4 =a1q5+ a1q6
a1q4(2) = a1q4(q+q2)
q2+q-2 =0
q=1 ,q=-2
q4,q5,q6,q2,是q的几次方

因为S5,S4,S6成等差数列,则S5+S6=2S4,
即2S4+a5+a6=2S4
a5+a6=0
a5=-a6
a1*q^4=-a1*q^5
q=-1