摘要:已知数列{an}满足:a1=1
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| 1 |
| 2 |
| an+12 |
| an+an+1 |
(I)求证:数列{
| an |
| an+1 |
(II)求数列{an}的通项公式;
(III)求下表中前n行所有数的和Sn. 查看习题详情和答案>>
已知数列{an}满足:a1=1,an+1=
an+
(n∈N*).
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)证明:
≤an≤1;
(Ⅲ)设Tn=
an,且Kn=ln(1+Tn)+
Tn2,证明:
<
.
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| 1 |
| 2 |
| n |
| 2n+1 |
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)证明:
| 1 |
| 2n-1 |
(Ⅲ)设Tn=
| 2n |
| n2-n+4 |
| 1 |
| 2 |
| 2 |
| Tn+2 |
| Tn |
| Kn |