题目内容
计算:1
+2
+3
+4
+…+10
.
| 1 |
| 1×3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 1 |
| 7×9 |
| 1 |
| 19×21 |
1
+2
+3
+4
+…+10
,
=(1+2+…+10)+
×(1-
+
-
+…+
-
)
=55+
×(1-
)
=55+
×
=55+
,
=55
.
| 1 |
| 1×3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 1 |
| 7×9 |
| 1 |
| 19×21 |
=(1+2+…+10)+
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 19 |
| 1 |
| 21 |
=55+
| 1 |
| 2 |
| 1 |
| 21 |
=55+
| 1 |
| 2 |
| 20 |
| 21 |
=55+
| 10 |
| 21 |
=55
| 10 |
| 21 |
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