题目内容
计算
+
+
+…+
+
.
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 98×99 |
| 1 |
| 99×100 |
原式=(
-
)+(
-
)+(
-
)+(
-
)+(
-
)
=
-
+
-
+
-
+
-
+
-
=1-
=
.
| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 99 |
| 1 |
| 100 |
=
| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 99 |
| 1 |
| 100 |
=1-
| 1 |
| 100 |
=
| 99 |
| 100 |
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