# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

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mith
Pitbull of Truth

 Posted: Mon Mar 18, 2002 7:05 pm    Post subject: 1 Find the last term of this sequence. I will post more terms at the beginning as hints, if needed. I will not confirm or deny answers without reasoning. ...72, 120, 48, 72, 24, 16, _
DrJones
Daedalian Member

 Posted: Mon Mar 18, 2002 11:49 pm    Post subject: 2 ...72, 120, 48, 72, 24, 16, _ All the numbers are even. Is it a coincidence? Let's chop the sequence ...36, 60, 24, 36, 12, 8, _ Mithosis... ...18, 30, 12, 18, 6, 4, _ Separation... ...9, 15, 6, 9, 3, 2, _ Mmmm... odd numbers appeared. How funny !! I thought A(n+1) in the sequence could be |A(n-1)-A(n)|, but that's wrong with the last numbers Aha! I got it! (I guess) -8
mith
Pitbull of Truth

 Posted: Tue Mar 19, 2002 6:33 pm    Post subject: 3 Any reasoning for that guess?
cubestudent
3D Member

 Posted: Wed Mar 20, 2002 2:12 am    Post subject: 4 i have two semilogical guesses: if the first hint# is 160, i think the answer's 0 but if it's 168, i think the answer's -8 [This message has been edited by cubestudent (edited 03-19-2002 09:25 PM).]
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:22 am    Post subject: 5 No, the hint number is not 160.
cubestudent
3D Member

 Posted: Wed Mar 20, 2002 2:26 am    Post subject: 6 then: is it 168?
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:32 am    Post subject: 7 Yes
cubestudent
3D Member

 Posted: Wed Mar 20, 2002 2:35 am    Post subject: 8 sorry to be so pesiferous, mith. . . but did you get my e-mail?
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:45 am    Post subject: 9 where did you send it?
cubestudent
3D Member

 Posted: Wed Mar 20, 2002 2:48 am    Post subject: 10 mithrandir@spl.net oops. it'll be from poetcoder@yahoo.com [This message has been edited by cubestudent (edited 03-19-2002 09:49 PM).]
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:50 am    Post subject: 11 check the address. it's mithrandir@spl.at
cubestudent
3D Member

 Posted: Wed Mar 20, 2002 2:51 am    Post subject: 12 crap. i'm sorry. i misread your add. umm. *blushess* well, the subject was basically a request to be added to the replacement player list for the Wheel of Time Mafia game. again, sorry.
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:55 am    Post subject: 13 you could have just posted i'll make a note somewhere, i'm sure there will be someone that needs replacing. now will someone solve this?
DrJones
Daedalian Member

 Posted: Wed Mar 20, 2002 10:43 am    Post subject: 14 This is my reason: There are two sequences mixed, one in the even and another in the odd elements. The value of an element in the even part of the sequence is the addition of its adjacent ones. So 16 = 24 + x => x= -8 There's something strange in all of this: In the odd part of the sequence, it looks like it decreases each step by 24, but in the final step, it decreases 32! Why? Ups! Perhaps I forget to put ink in my pen...
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 2:57 pm    Post subject: 15 Incorrect. The sequence does not have two parts. Hint added to beginning: ...168, 72, 120, 48, 72, 24, 16, _ Second hint: The sequence has no beginning, and the blank is the last term in the sequence. I could have posted it in the other direction, but I think it would have been easier that way. [This message has been edited by mith (edited 03-20-2002 09:01 PM).]
DrJones
Daedalian Member

 Posted: Wed Mar 20, 2002 3:42 pm    Post subject: 16 In that case, let's try another thing: If the next hint is 96, the last term is 0
mith
Pitbull of Truth

 Posted: Wed Mar 20, 2002 3:51 pm    Post subject: 17 The next hint is not 96.
mith
Pitbull of Truth

 Posted: Thu Mar 21, 2002 1:58 am    Post subject: 18 Another hint added to the beginning: ...312, 168, 72, 120, 48, 72, 24, 16, _ [This message has been edited by mith (edited 03-20-2002 09:02 PM).]
cubestudent
3D Member

 Posted: Thu Mar 21, 2002 4:17 am    Post subject: 19 perhaps. . . the next hint will be: 432?
mith
Pitbull of Truth

 Posted: Thu Mar 21, 2002 4:19 am    Post subject: 20 Not even close.
DrJones
Daedalian Member

 Posted: Thu Mar 21, 2002 10:09 am    Post subject: 21 If next hint is 72, the last term is 72 Hey! I guess I had to try it.
mith
Pitbull of Truth

 Posted: Thu Mar 21, 2002 2:46 pm    Post subject: 22 Nope. This sequence is evil, heh. It really is simple, though.
mith
Pitbull of Truth

 Posted: Thu Mar 21, 2002 2:50 pm    Post subject: 23 Third hint number: ...120, 312, 168, 72, 120, 48, 72, 24, 16, _
Sofis

Posted: Thu Mar 21, 2002 8:37 pm    Post subject: 24

Oh, come on. People. It's obvious. Look:
 Quote: Topic: Random, hopefully simple, number sequence
It's random. So the final number is whatever mith happened to feel like at the time.
Now, after extensive and grueling psychological analysis of mith's mind (the clone machine I borrowed from the Newcomb Institute was a great help) I have found out that the number in question is, in fact, 42.

mith
Pitbull of Truth

 Posted: Thu Mar 21, 2002 9:51 pm    Post subject: 25 I was wondering when someone was going to point that out. Not sure why I put "random" in the title. *~shrug~* The answer is not 42.
mith
Pitbull of Truth

 Posted: Fri Mar 22, 2002 4:55 pm    Post subject: 26 Fourth hint number: ...408, 120, 312, 168, 72, 120, 48, 72, 24, 16, _ If no one gets this soon I may have to save it for a potpourri or something
mith
Pitbull of Truth

 Posted: Wed Mar 27, 2002 2:51 am    Post subject: 27 One last bump...
CrystyB
Misunderstood Guy

 Posted: Wed Mar 27, 2002 5:13 pm    Post subject: 28 I'll look into it at home. Please be prepared to bump it one more time if i DON'T solve it today!
CrystyB
Misunderstood Guy

 Posted: Thu Mar 28, 2002 10:17 am    Post subject: 29 Damn! I thought i solved it... ... 120 216 96 168 72 120 48 72 24 24 0
mith
Pitbull of Truth

 Posted: Thu Mar 28, 2002 11:39 pm    Post subject: 30 Shall I put this one to rest, or save it for the next potpourri?
mith
Pitbull of Truth

 Posted: Mon Apr 01, 2002 3:17 am    Post subject: 31 Ok, I will post the solution, but not the reasoning. Maybe someone can figure *that* out. 5
mith
Pitbull of Truth

 Posted: Fri Apr 05, 2002 3:58 am    Post subject: 32 No one? I'm disappointed, it's not *that* hard.
CrystyB
Misunderstood Guy

 Posted: Sat Apr 13, 2002 11:35 pm    Post subject: 33 right. Yours and Chuck's are the easiest!
mith
Pitbull of Truth

 Posted: Wed Apr 17, 2002 4:10 pm    Post subject: 34 *~bump~* No one has gotten this yet? This was a prime opportunity for someone to restore my faith in humanity. I guess it doesn't make much difference anyway. Repost of sequence, in the more normal order: 5, 16, 24, 72, 48, 120, 72, 168, 312, 120, 408,...
cubestudent
3D Member

 Posted: Thu Apr 18, 2002 12:09 am    Post subject: 35 your subtle hints are no match for my thick skull.
Athene
Daedalian Member

 Posted: Thu Apr 18, 2002 4:53 pm    Post subject: 36 312?
mith
Pitbull of Truth

 Posted: Thu Apr 18, 2002 5:56 pm    Post subject: 37 *~gasp~* Has someone finally got it?
Athene
Daedalian Member

 Posted: Thu Apr 18, 2002 7:30 pm    Post subject: 38 Then the next ones would be 168, 360, 600, 672. Those are the differences of squared prime numbers, eg. 5=3²-2², 16=5²-3², 24=7²-5².
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