计算:1/2-(1/2-1/4)-(1/4-1/8)-…-(1/512-1/1024).

问题描述:

计算:

1
2
-(
1
2
-
1
4
)-(
1
4
-
1
8
)-…-(
1
512
-
1
1024
).

原式=

1
2
-(
1
2
-
1
4
)-(
1
4
-
1
8
)-…-(
1
512
-
1
1024

=
1
2
-
1
2
+
1
4
-
1
4
…+
1
1024

=
1
1024