Bob is trying to crack a puzzle. He finds this numerical sequence:
9056, 528, 64
What should he input after 64?
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$\begingroup$ why the downvotes? $\endgroup$– bean delivery manCommented Sep 6, 2020 at 22:04
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$\begingroup$ have I done something wrong?? :'( $\endgroup$– bean delivery manCommented Sep 6, 2020 at 22:07
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$\begingroup$ Here's a hint.... one gone.....twice... $\endgroup$– bean delivery manCommented Sep 6, 2020 at 22:14
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1$\begingroup$ You may want to take a look at this. In short, there are really too many ways to get these numbers, so the puzzle is too open-ended. $\endgroup$– bobbleCommented Sep 6, 2020 at 22:57
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$\begingroup$ I dont mean this in any disrespect, but I feel that this kind of puzzle is alright, when you can give hints in comment form when one does not get the answer correct. However, I thank you for your correction and will keep this in mind for future puzzles. $\endgroup$– bean delivery manCommented Sep 6, 2020 at 23:08
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2 Answers
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Original Answer:
My guess: 22
Going backwards starting from 64:
528 = 64 * 2 + 400
9056 = 528 * 2 + 8000
Notice that 400 = 20^2 and 8000 = 20^3
Therefore, it looks like the pattern would be n * 2 + 20 = 64, so n = 22
Edit:
Going in the other direction as suggested in the comment, we notice that:
9056 / 2 = 4528
528 / 2 = 264
So the pattern could also be dividing by 2 and removing the leading digit.
Using this approach we get
64 / 2 = 32 for a final answer of 2
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$\begingroup$ not quite, try right to left. $\endgroup$ Commented Sep 6, 2020 at 22:02
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$\begingroup$ AMAZING!!! Great job Kevin! $\endgroup$ Commented Sep 6, 2020 at 22:49
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1
7664
via polynomial interpolation
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$\begingroup$ not quite, try simpler ways of solution. $\endgroup$ Commented Sep 6, 2020 at 22:04