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Title: Just A Plain Old Number Sequence... Post by jeremiahsmith on Dec 4th, 2002, 11:31am What comes next...? 32, 35, 40, 44, 52, 112, ? |
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Title: Re: Just A Plain Old Number Sequence... Post by redPEPPER on Dec 16th, 2002, 6:22am 200, 1012 The rest is too much of a giveaway (if this isn't already) |
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Title: Re: Just A Plain Old Number Sequence... Post by Brett Danaher on Jan 6th, 2003, 7:01am Actually, I'm still not sure of the answer. Care to give a little more help solving the pattern? I've been working on this one off and on for a few days. |
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Title: Re: Just A Plain Old Number Sequence... Post by Cyrus on Jan 6th, 2003, 9:12am Jeeze, I'm havin a tough time with this one too. |
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Title: Re: Just A Plain Old Number Sequence... Post by Jeremiah Smith on Jan 6th, 2003, 11:00am Hint: the pattern is not an arithmetic or geometric sequence of any sort. Although, if you checked the differences between each number in the sequence, the differences would always be 0... |
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Title: Re: Just A Plain Old Number Sequence... Post by BNC on Jan 6th, 2003, 11:20am could the next number be 100000? If yes, a followup question: is it possible to define a "base-1" system? Would it be 1....1 (32 times) in this base? Or am I just blabering? |
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Title: Re: Just A Plain Old Number Sequence... Post by redPEPPER on Jan 6th, 2003, 2:37pm Yes, that's what the next number is. I encountered base 1 before but I'm not too fond of it. It's so different from other bases. You can always write 0 in any base, except base 1 (aside from not writing anything at all). Also, a determining characteristic of bases is that the value of a particular figure depends on its position: in base N, the figure X can mean X, or X*N, or X*N2, or X*N3... In base 1, every figure has a value of 1 (although you could argue that they have values of 10, 11, 12...) Ah well. I don't like base 1. Heh. How 'bout base -2? ;) |
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Title: Re: Just A Plain Old Number Sequence... Post by BNC on Jan 7th, 2003, 4:03am Just a point of interest: I once did a work with mixed radix numbers (MRN). It's an extension of the "base" system, where each location doesn't have to be N^?. You define that by a base vector b=[b(n-1),...b(1),b(0)] (b(i)>1). {note: b(1) is b with 1 subscript -- I don't know how to enter that) Then, a weight vector w=[w(n),...w(1),w(0)], where w(0)=1, and w(i)=w(i-1)*b(i-1) A number A would have a unique representation a=[a(n-1),...a(1),a(0)], such that A=w(dot)a (a dot product), and 0<=a(i)<b(i). It is easy to see that the "normal" base system is just a particular case of MRN. And MRN has some nice uses. OK, that's not a riddle, but I think it is interesting..... |
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