摘要:二.填空题13.已知等差数列{an}的公差d=1.前n项和为Sn.若S5>a1a9.则a1的取值范围为 . 解析:因为数列{an}的公差d=1.且S5>a1a9.所以5a1+10>a+8a1.即a+3a1-10<0.解得-5<a1<2.即a1的取值范围为. 答案:
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(2012•济南二模)已知等差数列{an}的前n项和为Sn,S5=35,a5和a7的等差中项为13.
(Ⅰ)求an及Sn;
(Ⅱ)令bn=
(n∈N﹡),求数列{bn}的前n项和Tn.
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(Ⅰ)求an及Sn;
(Ⅱ)令bn=
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(2013•泰安二模)已知等差数列{an}的首项a1=3,且公差d≠0,其前n项和为Sn,且a1,a4,a13分别是等比数列{bn}的b2,b3,b4.
(Ⅰ)求数列{an}与{bn}的通项公式;
(Ⅱ)证明
≤
+
+…+
<
.
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(Ⅰ)求数列{an}与{bn}的通项公式;
(Ⅱ)证明
| 1 |
| 3 |
| 1 |
| S1 |
| 1 |
| S2 |
| 1 |
| Sn |
| 3 |
| 4 |