已知数列{an}是等差数列,前n项和为Sn,a3=6,s3=12,求S1+S2+S3+S4+.+Sn的值
人气:390 ℃ 时间:2020-05-06 18:19:19
解答
s3=6-2d+6-d+6=12
∴d=2
∴a1=2
∴sn=n(n+1)=n²+n
∴S1+S2+S3+S4+.+Sn=n(n+1)(2n+1)/6+n(n+1)/2
=n(n+1)(n+2)/3
推荐
- 已知数列〔an〕是等差数列,其前n项和为Sn,a3=6,S3=12?(1)求数列〔an〕的通项公式?(2)求1/S1+1/S2+·...
- 等比数列{an}的前n项和为Sn,已知S1,S3,S2成等差数列 (Ⅰ)求{an}的公比q; (Ⅱ)a1-a3=3,求Sn.
- 已知数列{an }是等差数列,其前n项和为Sn,a3=1/2,S3=6.求1/S1+1/S2+······+1/Sn的值
- 等比数列{an}的前n项和为Sn已知S1,S3,S2成等差数列,(1)求{an}的公比q(2)若a1-a3=3,求Sn
- 等比数列{an}的前n项和为Sn,已知S1,S3,S2成等差数列 (Ⅰ)求{an}的公比q; (Ⅱ)a1-a3=3,求Sn.
- 这个字是咋念?
- 用英语列举五条保护动物的措施
- My destiny is determined by God but not myself man can conquer nature
猜你喜欢