用简便方法计算:2/3+2/15+2/35+2/63+2/99.

问题描述:

用简便方法计算:

2
3
+
2
15
+
2
35
+
2
63
+
2
99

2
3
+
2
15
+
2
35
+
2
63
+
2
99

=1−
1
3
+
1
3
1
5
+
1
5
1
7
+
1
7
1
9
+
1
9
1
11

=1−
1
11

=
10
11