问题标题:
数学算术题1-2/3-1/6-1/12-1/24···-1/768怎么算?麻烦写出解题步骤
问题描述:

数学算术题

1-2/3-1/6-1/12-1/24···-1/768怎么算?麻烦写出解题步骤

方昌始回答:
  1-2/3-1/6-1/12-1/24···-1/768=1-(1-1/3)-(1/3-1/6)-(1/6-1/12)-..-(1/384-1/768)=1-1+1/3-1/3+1/6-...+1/768=1/768
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