在等比数列中a1= -2.7 q=-1/3 an= 1/90 求Sn!Now!

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在等比数列中a1=-2.7q=-1/3an=1/90求Sn!Now!在等比数列中a1=-2.7q=-1/3an=1/90求Sn!Now!在等比数列中a1=-2.7q=-1/3an=1/90求Sn!No

在等比数列中a1= -2.7 q=-1/3 an= 1/90 求Sn!Now!
在等比数列中a1= -2.7 q=-1/3 an= 1/90 求Sn!Now!

在等比数列中a1= -2.7 q=-1/3 an= 1/90 求Sn!Now!
Sn=a1 +a2+...+an
qSn= +a2+...+an+qan
相减
(1-q)Sn=a1-qan
从而Sn=(a1-qan)/(1-q)=(-2.7+1/3*1/90)/(1+1/3)=-91/45

an / a1 = -1/243 = (-1/3)^5
故:n = 5 + 1 = 6
sn = a1 * (1-q^6)/(1-q)= -2.7 * ( 1 - (-1/3)^6 ) / ( 1 + 1/ 3 ) = -91/45