一题有理数的题目,1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)=?怎 ...
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发布时间:2024-10-19 23:13
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热心网友
时间:2024-11-20 18:17
原式=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/256)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/64)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/32)-1/256
=1+(1/2+1/4+1/8+1/16+1/16)-1/256
=1+(1/2+1/4+1/8+1/8)-1/256
=1+(1/2+1/4+1/4)-1/256
=1+(1/2+1/2)-1/256
=2-1/256
=1又255/256
热心网友
时间:2024-11-20 18:14
511/256
过程:=1+(1-1/2+1/2-1/4+1/4-1/8+……+1/64-1/128+1/128-1/256)
=1+1-1/256
热心网友
时间:2024-11-20 18:22
1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)
=1+(1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128+1/128-1/256)
=1+(1-1/256)
=1+255/256
=256/256+255/256
=511/256
热心网友
时间:2024-11-20 18:15
1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)
=1+(1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128+1/128-1/256)
=1+(1-1/256)
=1+255/256
=256/256+255/256
=511/256
热心网友
时间:2024-11-20 18:15
511/256
过程:=1+(1-1/2+1/2-1/4+1/4-1/8+……+1/64-1/128+1/128-1/256)
=1+1-1/256
热心网友
时间:2024-11-20 18:22
原式=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/256)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/128)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/64+1/64)-1/256
=1+(1/2+1/4+1/8+1/16+1/32+1/32)-1/256
=1+(1/2+1/4+1/8+1/16+1/16)-1/256
=1+(1/2+1/4+1/8+1/8)-1/256
=1+(1/2+1/4+1/4)-1/256
=1+(1/2+1/2)-1/256
=2-1/256
=1又255/256