Re: 來個簡單的等比級數總和 - 拼圖
By Lily
at 2007-12-12T15:51
at 2007-12-12T15:51
Table of Contents
第1週 2^0+2^1+2^2+...+2^6 = 2^7-2^0
第2週 2^1+2^2+2^3+...+2^7 = 2^8-2^1
第N週 2^(N-1)+2^N+...+2^(N+5) = 2^(N+6) - 2^(N-1)
總和: [ 2^7 + 2^8 + ... + 2^(N+6) ] - [ 2^0 + 2^1 + ... + 2^(N-1) ]
=[ 2^(N+7) - 2^7 ] - [ 2^N - 2^0 ] (N>0)
∵100萬 < 2^20 - 2^13 - 2^7 + 2^0
∴N=13
--
ナスビ的ビ是做什麼的
--
第2週 2^1+2^2+2^3+...+2^7 = 2^8-2^1
第N週 2^(N-1)+2^N+...+2^(N+5) = 2^(N+6) - 2^(N-1)
總和: [ 2^7 + 2^8 + ... + 2^(N+6) ] - [ 2^0 + 2^1 + ... + 2^(N-1) ]
=[ 2^(N+7) - 2^7 ] - [ 2^N - 2^0 ] (N>0)
∵100萬 < 2^20 - 2^13 - 2^7 + 2^0
∴N=13
--
ナスビ的ビ是做什麼的
--
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拼圖
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By Rae
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