Re: 請教:中央面試數學一題
※ 引述《sle123456789 (sle)》之銘言:
: 設 sigma[(ai/ 4^i)]=1/10,
: 其中i=1,2,…;ai為{o,1,2,3}
: 試求 ai之值
: 請教版上的人,提供一下想法或解法,謝謝~~~
4^3- 4 = 60
(4^3-4)/10 = 6 = (12)_4
note that 1/(4^3-4)= 4^(-3)*(1+4^(-2)+...)
= (0.00101010101....)_4
Hence 1/10 = (12)_4* (0.0010101010101..)_4
__
= (0.012)_4
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