摘要:设数列的前n项和..
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已知公差不为0的等差数列{an}的首项为4,设数列的前n项和为Sn,且
,
,
成等比数列.
(1)求数列{an}的通项公式an及Sn;
(2)记An=
+
+
+…+
,Bn=
+
+
+…+
,当n≥2时,试比较An与Bn的大小.
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| 1 |
| a1 |
| 1 |
| a2 |
| 1 |
| a4 |
(1)求数列{an}的通项公式an及Sn;
(2)记An=
| 1 |
| S1 |
| 1 |
| S2 |
| 1 |
| S3 |
| 1 |
| Sn |
| 1 |
| a1 |
| 1 |
| a2 |
| 1 |
| a22 |
| 1 |
| a2n-1 |
已知等差数列{an}的首项为a(a∈R,a≠0).设数列的前n项和为Sn,且对任意正整数n都有
=
.
(1)求数列{an}的通项公式及Sn;
(2)是否存在正整数n和k,使得Sn,Sn+1,Sn+k成等比数列?若存在,求出n和k的值;若不存在,请说明理由.
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| a2n |
| an |
| 4n-1 |
| 2n-1 |
(1)求数列{an}的通项公式及Sn;
(2)是否存在正整数n和k,使得Sn,Sn+1,Sn+k成等比数列?若存在,求出n和k的值;若不存在,请说明理由.
已知公差不为0的等差数列{an}的首项a1为a(a∈R)设数列的前n项和为Sn,且
,
,
成等比数列.
(Ⅰ)求数列{an}的通项公式及Sn;
(Ⅱ)记An=
+
+
+…+
,Bn=
+
+…+
,当n≥2时,试比较An与Bn的大小.
查看习题详情和答案>>
| 1 |
| a1 |
| 1 |
| a2 |
| 1 |
| a4 |
(Ⅰ)求数列{an}的通项公式及Sn;
(Ⅱ)记An=
| 1 |
| S1 |
| 1 |
| S2 |
| 1 |
| S3 |
| 1 |
| Sn |
| 1 |
| a1 |
| 1 |
| a2 |
| 1 |
| a2n-1 |