设Sn是等比数列{an}的前n项和,且S3=7⼀4, S6=63⼀4(1)求{an}的通项公式an(

2025-06-29 05:05:17
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回答1:

(1)S3=a1(1-q^3)/(1-q)……(1)
S6=a1(1-q^6)/(1-q)……(2)
(2)/(1)得
1+q^3=9
故q=2
带入(1)得
a1=1/4
an=a1q^(n-1)=2^(n-3)
(2)bn=n-3
易知{bn}是以b1=-2为首项,d=1为公差的等差数列
故Tn=[(-2)+(n-3)]n/2=(n^2-5n)/2