> 数学 >
1
1x2
+
1
2x3
+
1
3x4
+
1
4x5
+…+
1
99x100
人气:445 ℃ 时间:2019-11-15 08:01:32
解答
1
1x2
+
1
2x3
+
1
3x4
+
1
4x5
+…+
1
99x100

=(1-
1
2
)+(
1
2
-
1
3
)+(
1
3
-
1
4
)+(
1
4
-
1
5
)+…+(
1
99
-
1
100
),
=1-
1
2
+
1
2
-
1
3
+
1
3
-
1
4
+
1
4
-
1
5
+…+
1
99
-
1
100

=1-
1
100

=
99
100
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