Can You Solve the Mystery of 61 52 ?? 94 45?

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In summary, the conversation revolves around finding the missing number in a sequence of numbers. One sequence is 61, 52, ??, 94, 45 and the other is 1, 2, 3, ??, 5, 6π. The participants discuss various strategies and patterns for solving the missing number, including the possibility of the sequence being based on bus or train stops in a specific city. They also mention a polynomial that may be related to the sequence.
  • #1
TSN79
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I found this on another forum, and no one has figured it out there yet so I thought I could ask here too. It's said that many "smart" guys don't get it, but that many high school students do...

61 52 ?? 94 45

Any suggestions? Apparently the second digit increases by one every step, but I'm not sure it means anything. Could just be a coincident.
 
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  • #2
Are you ABSOLUTELY sure that the last number is 45 and not 46?
(In that case, the middle term is real easy to figure out)
 
  • #3
That quickly became an issue at the other forum too, but the thread starter has not stated that 45 (forty five) is wrong.
 
  • #4
Hmm..has he said outright that 45 is, indeed, correct?
 
  • #5
No, but he has posted several times since the issue came up, so I suppose he would've said something if it was wrong. Or maybe he just likes to see people struggle to no prevail...
 
  • #6
That's actually kind of funny. Here's another one for you:


1 2 3 ?? 5 6 [itex]\pi[/itex]

Find the missing number. ;)
 
  • #7
"Smart" guys would recognize that there are an infinite number of perfectly reasonable ways to produce a sequence of 5 numbers!
 
  • #8
TSN79 said:
It's said that many "smart" guys don't get it, but that many high school students do...

These sort of things can be very silly. I think it was in the puzzle forum here (perhaps not), someone posted a "find the next number in the sequence" and it turned out to be the sequence of bus or train stops along some specific route in some specific city. Tthis high school reference suggests it's some sequence that high school students (possibly in a very localized area) see often. Though perhaps not, it could really be anything-here's another one, what's next:

2, 3, 5, 7, 11, 13, ??

I should warn anyone who tries to solve this that I've been thinking about the polynomial 15-437/15*x+91/4*x^2-187/24*x^3+5/4*x^4-3/40*x^5 quite a lot lately.
 
  • #9
shmoe said:
I should warn anyone who tries to solve this that I've been thinking about the polynomial 15-437/15*x+91/4*x^2-187/24*x^3+5/4*x^4-3/40*x^5 quite a lot lately.
And with good reason, too!
The zeroes of that polynomial is so beautifully placed along the real line.
(It was that feature you have pondered over, right?)
 

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