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1/2+1/4+1/8=1-1/8=7/8用类似的方法计算：3/4+3/16+3/64+3/256+3/1024=?我要具体计算过程
题目详情
1/2+1/4+1/8=1-1/8=7/8用类似的方法计算：3/4+3/16+3/64+3/256+3/1024=?我要具体计算过程
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答案和解析
3/4+3/16+3/64+3/256+3/1024
=3/4+3/16+3/64+3/256+3/1024+1/1024-1/1024
=3/4+3/16+3/64+3/256+1/256-1/1024
=3/4+3/16+3/64+1/64-1/1024
=3/4+3/16+1/16-1/1024
=3/4+1/4-1/1024
=1-1/1024
=1023/1024
=3/4+3/16+3/64+3/256+3/1024+1/1024-1/1024
=3/4+3/16+3/64+3/256+1/256-1/1024
=3/4+3/16+3/64+1/64-1/1024
=3/4+3/16+1/16-1/1024
=3/4+1/4-1/1024
=1-1/1024
=1023/1024
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