1-1/2-1/4-1/8-1/16-1/32-1/64简便计算

1-1/2-1/4-1/8-1/16-1/32-1/64简便计算
1-1/2-1/4-1/8-1/16-1/32-1/64简便计算

1-1/2-1/4-1/8-1/16-1/32-1/64简便计算
1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/64)
=1-(32/64+16/64+8/64+4/64+2/64+1/64)
=1-63/64
=1/64

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

提出一个1/64
1/64*（64-32-16-8-4-2-1）
＝1/64*1
＝1/64

1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/62)
=1-{【1/2(1-1/2的六次方)】/(1-1/2)}
=1-1+1/64
1/64

后面的用等比数列求和公式加起来打包一起减。

1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/62)
=1-{【1/2(1-1/2的六次方)】/(1-1/2)}
=1-1+1/64
1/64

mmm

错误：（没简便）1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/64)
=1-(32/64+16/64+8/64+4/64+2/64+1/64)
=1-63/64
=1/64
正确：1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/...

全部展开

错误：（没简便）1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/64)
=1-(32/64+16/64+8/64+4/64+2/64+1/64)
=1-63/64
=1/64
正确：1-1/2-1/4-1/8-1/16-1/32-1/64
=1-(1/2+1/4+1/8+1/16+1/32+1/62)
=1-{【1/2(1-1/2的六次方)】/(1-1/2)}
=1-1+1/64
1/64
后面的用等比数列求和公式加起来打包一起减。

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