题目内容
已知数列{an}的通项公式为an=
求数列{an}的前n项和Sn.
| 1 |
| n(n+1) |
因为:an=
=
-
所以:Sn=(1-
)+(
-
)+(
-
)+…+(
-
)+(
-
)
=1-
=
.
| 1 |
| n(n+1) |
| 1 |
| n |
| 1 |
| n+1 |
所以:Sn=(1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| n-1 |
| 1 |
| n |
| 1 |
| n |
| 1 |
| n+1 |
=1-
| 1 |
| n+1 |
=
| n |
| n+1 |
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| 1 |
| Sn+n |
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| ||||
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