题目内容
计算:1+
+
+…+
=______.
| 1 |
| 1+2 |
| 1 |
| 1+2+3 |
| 1 |
| 1+2+3+…+100 |
原式=1+
-
+
-
+
-
+…+
-
=1+
+(-
+
)+(-
+
)+(-
+
)+…+(-
+
)-
=1+
-
=2-
=1
故答案为1
| 2 |
| 2 |
| 2 |
| 3 |
| 2 |
| 3 |
| 2 |
| 4 |
| 2 |
| 4 |
| 2 |
| 5 |
| 2 |
| 100 |
| 2 |
| 100+1 |
=1+
| 2 |
| 2 |
| 2 |
| 3 |
| 2 |
| 3 |
| 2 |
| 4 |
| 2 |
| 4 |
| 2 |
| 5 |
| 2 |
| 5 |
| 2 |
| 100 |
| 2 |
| 100 |
| 2 |
| 100+1 |
=1+
| 2 |
| 2 |
| 2 |
| 100+1 |
=2-
| 2 |
| 101 |
=1
| 99 |
| 101 |
故答案为1
| 99 |
| 101 |
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