1/2+3/4+7/8+······+1023/1024 简便运算

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1/2+3/4+7/8+······+1023/1024简便运算1/2+3/4+7/8+······+1023/1024简便运算1/2+3/4+7/8+······+1023/1024简便运算令M=1

1/2+3/4+7/8+······+1023/1024 简便运算
1/2+3/4+7/8+······+1023/1024 简便运算

1/2+3/4+7/8+······+1023/1024 简便运算
令 M=1/2+3/4+7/8+······+1023/1024 ①
2M=1/1+3/2+7/4+······+1023/512 ②
②- ①得M=1+2/2+4/4+······+512/512 -1023/512
=1+ 1+1++······+1 -1023/512
=10- 1023/512
=4079/512

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