求大神解决谢谢,

2024-04-29 23:06:24
推荐回答(2个)
回答(1):

(I)设等差数列{an}的公差为d≠0,
由题意a1,a11,a13成等比数列,∴
a 11 平方
=a1a13,
∴(a1+10d)2=a1(a1+12d),化为d(2a1+25d)=0,
∵d≠0,∴2×25+25d=0,解得d=-2.
∴an=25+(n-1)×(-2)=-2n+27.
(II)由(I)可得a3n-2=-2(3n-2)+27=-6n+31,可知此数列是以25为首项,-6为公差的等差数列.
∴Sn=a1+a4+a7+…+a3n-2=
n(a1+a3n-2) 除以
2

=
n(25-6n+31) 除以
2

=-3n2+28n

回答(2):