题目内容
如果
+
+
+…+
=
，那么n=______．
| 1 |
| 2 |
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| n(n+1) |
| 2011 |
| 2012 |
| 1 |
| 2 |
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| n(n+1) |
=1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| n |
| 1 |
| n+1 |
=1-
| 1 |
| n+1 |
=
| n |
| n+1 |
所以，
| n |
| n+1 |
| 2011 |
| 2012 |
2012n=2011n+2011
n=2011
故答案为：2011．
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