(3)等比数列{an}的前n项和为Sn,已知S3 = a2 +10a1 ,a5 = 9,则a1= ( )

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/01 11:06:58
(3)等比数列{an}的前n项和为Sn,已知S3 = a2 +10a1 ,a5 = 9,则a1= ( )
x)0|)Ϧnx1:1y/|:Ɏ]y:Ooz>iBAN)kcfMR>u /M &qƚ@ , 5..3ZY q&PΆ' 1Է/.H̳q

(3)等比数列{an}的前n项和为Sn,已知S3 = a2 +10a1 ,a5 = 9,则a1= ( )
(3)等比数列{an}的前n项和为Sn,已知S3 = a2 +10a1 ,a5 = 9,则a1= ( )

(3)等比数列{an}的前n项和为Sn,已知S3 = a2 +10a1 ,a5 = 9,则a1= ( )
等比数列
s3=a1q+10a1=a1(1-q^3)/1-q
q+10=1+q+q^2
q^2=9
a5=a1q^4=9
所以a1=1/9