设等差数列{an}的前n项和为Sn,已知a3=5,S3=9.(1)求{an}的首项a1和公差d的值;(2)若bn=a2n,求数

2025-06-21 19:01:28
推荐回答(1个)
回答1:

(1)∵a3=5,S3=9.

a1+2d=5
3a1++3d=9

解可得,a1=1,d=2
(2)an=1+2(n-1)=2n-1
bna2n=2n+1-1
sn22?1+23?1+…+2n+1?1
=
4(1?2n)
1?2
?n

=2n+2-n-4