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
答
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