1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256这道计算题怎么简算?我可是急用哦!
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![1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256这道计算题怎么简算?我可是急用哦!](/uploads/image/z/28853-53-3.jpg?t=1%2F2%2B3%2F4%2B7%2F8%2B15%2F16%2B31%2F32%2B63%2F64%2B127%2F128%2B255%2F256%E8%BF%99%E9%81%93%E8%AE%A1%E7%AE%97%E9%A2%98%E6%80%8E%E4%B9%88%E7%AE%80%E7%AE%97%3F%E6%88%91%E5%8F%AF%E6%98%AF%E6%80%A5%E7%94%A8%E5%93%A6%21)
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1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256这道计算题怎么简算?我可是急用哦!
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256这道计算题怎么简算?
我可是急用哦!
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256这道计算题怎么简算?我可是急用哦!
an=(2^n-1)/2^n=1-1/2^n
Sn=8*1-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)
=8-0.5(1-0.5^8)/1-0.5
=8-255/256
=1793/256
原式=8-(1/2+1/4+…+1/256)=8-(0.5*(1-0.5^8)/(1-0.5))=?
自己算吧