Mathematics, applications of mathematics to life in general, and my life as a mathematician.
Found the following cute puzzle on Facebook.
Puzzle. Discover the rule governing the following sequence to find the next term of the sequence: 8, 3, 4, 9, 3, 9, 8, 2, 4, 3.
That was fun!
… 4, 6, 3
but I’m not sure .. what is the reasoning behind?
One of the five answers above is correct. Hint: The rule is simple. If you are not sure, you didn’t discover it.
Blaine has it. Unfortunately I don’t see a way to determine additional terms… unless they are 1, 1, 1…?
Michael, perhaps it could continue as 5, 5, 4, 4, 5, 4, 5, 3… and would it eventually devolve into 4, 4, 4… ?
Mmmh, I don’t follow
Hint: This is a self-referencing puzzle.
I got it; however, my very simple (and human language-independent!) program says 1,9,5,2,4.
Indeed, the rational number with the lowest denominator, which decimal form starts with .8349398243 is 138681/166097 = 0.83493982431952413348…
…4,4,2,3,9(or 8) ?
I see the mirror rule a(i)=a(13-i)+1 for i<13-i, i!=4. This would continue with two terms: 2 and 7. But this is different to all given ones and Tanya said the good is already given.
Hint: ignore the word “Puzzle” and proceed from there.
Oh! I see now, nice. Not as much a self-referencing puzzle as a prelude-referencing one, I would say.
And perhaps a couple of 1’s if you’re so inclined 🙂
..4, 4, 2, 3, 8.
And perhaps a couple of 1’s if you’re so inclined… 🙂
Meh, its not in the OEIS, so most likely not given by some easy formula…
This is fun, I am sure the next few terms according to this rule would be 4, 2, 3, 1, 2, 4, 3 , 4, 3, 5, 9
I saw this puzzle at work so I wrote down the sequence on a post-it to solve it over the weekend. Here is my hint: I could only solve it on monday.
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