> 数学 >
1
2
+
5
6
+
11
12
+
19
20
+…+
379
380
=______.
人气:348 ℃ 时间:2020-01-29 14:51:24
解答
1
2
+
5
6
+
11
12
+
19
20
+…+
379
380

=(1-
1
2
)+(1-
1
6
)+(1-
1
12
)+(1-
1
20
)+…+(1-
1
380
),
=19-(
1
2
+
1
6
+
1
12
+
1
20
+…+
1
380
),
=19-(1-
1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
19
-
1
20
),
=19-1+
1
20

=18
1
20

故答案为:18
1
20
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