原式=1-（1-1/2)-(1/2-1/4)-(1/4-1/8)-……-(1/32-1/64)-(1/64-1/128)-(1/128-1/256)
=1-1+1/2-1/2+1/4-1/4+1/8-……-1/32+1/64-1/64+1/128-1/128+1/256
=1/256
找出规律计算：1-1/2-1/4-1/8-···-1/64-1/128-1/256
2个回答
相关问题
-
计算：1/2+4/1+8/1+16/1+32/1+64/1+128/1+256/1
-
计算1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
-
1+1?2+2?4+4?8+8?16+16?32+32 64+64 128+128 256+256 512+512 10
-
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
-
2\1+4\1+8\1+16\1+64\1+128\1+256\1+512\1
-
1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/256
-
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256=?
-
1/2-1/4-1/8-16/1-32/1-64/1-128/1-256/1
-
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
-
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/128+1/256-1/512