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1/4+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/11024=?怎么算?
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1/4+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/11024=?怎么算?
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答案和解析
只给出思路,不给结果了
1/4+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=
1/4+1/4+3/8+1/8+7/16+1/16+15/32+1/32+31/64+1/64+63/128+1/128+127/256+1/256+255/512+1/512+511/11024+1/1024-(1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024)=9*1/2-(1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024)后面是一个等比数列,比较容易求出了.
1/4+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=
1/4+1/4+3/8+1/8+7/16+1/16+15/32+1/32+31/64+1/64+63/128+1/128+127/256+1/256+255/512+1/512+511/11024+1/1024-(1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024)=9*1/2-(1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024)后面是一个等比数列,比较容易求出了.
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