用简便方法计算:1⼀4+1⼀8+1⼀16+1⼀32+1⼀64+1⼀128

2024-11-02 14:26:49
推荐回答(3个)
回答(1):

1/4+1/8+1/16+1/32+1/64+1/128
=1/4+1/8+1/16+1/32+1/64+1/128+1/128-1/128
=1/4+1/8+1/16+1/32+1/64+1/64-1/128
=1/4+1/8+1/16+1/32+1/32-1/128
=1/4+1/8+1/16+1/16-1/128
=1/4+1/8+1/8-1/128
=1/4+1/4-1/128
=1/2-1/128
=63/128

回答(2):

回答(3):

S=1/4+1/8+1/16+1/32+1/64+1/128
2s=1/2+1/4+1/8+1/16+1/32+1/64
2s-s=S=1/2-1/128