问题 解答题
1
1
2
+2
1
6
+3
1
12
+4
1
20
+5
1
30
+6
1
42
+7
1
56
+8
1
72
=?
答案

1

1
2
+2
1
6
+3
1
12
+4
1
20
+5
1
30
+6
1
42
+7
1
56
+8
1
72

=(1+2+3+…+8)+(

1
2
+
1
6
+
1
12
+…+
1
72
),

=36+(1-

1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
8
-
1
9
),

=36+(1-

1
9
),

=36+

8
9

=36

8
9

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