1/2+1/4+1/8+1/16+1/32+1/64 简便运算 写出具体过程

1/2+1/4+1/8+1/16+1/32+1/64 简便运算 写出具体过程
1/2+1/4+1/8+1/16+1/32+1/64 简便运算 写出具体过程

1/2+1/4+1/8+1/16+1/32+1/64 简便运算 写出具体过程
1/2+1/4+1/8+1/16+1/32+1/64
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64
=1/2+1/4+1/8+1/16+1/32+1/32-1/64
=1/2+1/4+1/8+1/16+1/16-1/64
=1/2+1/4+1/8+1/8-1/64
=1/2+1/4+1/4-1/64
=1/2+1/2-1/64
=1-1/64
=63/64

s=1/2+1/4+1/8+1/16+1/32+1/64
1/2*s=1/4+1/8+1/16+1/32+1/64 +1/128
两式相减
1/2*s=1/2-1/128
s=1-1/64
s=63/64

不知道你学了没有！转换成1/2+(1/2)