{an}是等差数列,S8=48,S12=108求Sn

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 14:44:23
{an}是等差数列,S8=48,S12=108求Sn{an}是等差数列,S8=48,S12=108求Sn{an}是等差数列,S8=48,S12=108求Sns8=8a1+28d=48,2a1+7d=1

{an}是等差数列,S8=48,S12=108求Sn
{an}是等差数列,S8=48,S12=108求Sn

{an}是等差数列,S8=48,S12=108求Sn
s8=8a1+28d=48,2a1+7d=12(1)
s12=12a1+66d=108,2a1+11d=18(2)
(1)-(2)解得:4d=6,d=1.5
把d=1.5代入(1)得a1=0.75
没分就给个好评吧!谢了!

3/4*n^2 Sn=n*a1+n*(n-1)/2*d 当n=8时,Sn=48,当n=12时Sn=108
解得 a1=3/4,d=3/2 带入Sn得Sn=3/4*n^2