20 Questions Type Puzzel

[TheRealJoeFish]

1, 2, 15, 10, 4, 6, 6, 3, 2...

Does not fit.

I should clarify: The rule is semi-deterministic; each number in the sequence depends on the number before it, but is (generally) not uniquely determined by it.

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A. 1, 6, 11, 6, 11, 16, 21, 16, 21, 26

B. 1, 7, 13, 19, 25, 31, 37, 43, 49

Neither fits. I think I might have made this a little too specific, so what I'm going to do is tell you which of the numbers in the sequences "don't work," that is, don't follow the rule based on the number prior.

In both of these sequences, none of the numbers, aside from the leading "1", follow the rule (that is, a 6 may not follow a 1, a 37 may not follow a 31, etc).

However,
6, 12, 18, 24, 30, 36, 42... does fit.

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Every number is an integer.

While this is undeniably true, I'm going to go ahead and aver that the "rule" is a bit more specific than that.

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Ok, I'm making my second guess because I'm impatient

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The first line is in natural sequential ascending order, the second line is in ascending order, but isn't sequential, the third is neither sequential, not ascending.

My second question is 1, 2, 15, 10, 4, 6, 6, 3, 2...If you answer "No", then my guess is that the rule is no number can occur twice in a row, as that doesn't happen in all three lines. If you answer "Yes" then my answer is the sequence can be anything as long as it starts with "1, 2...", the only other thing in common with the lines.

This is almost foolproof, except "No" could also mean the rule is both: "the sequence has to start with '1, 2..' and the same number can't occur twice in a row."

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I will answer "No, 1, 2, 15, 10, 4, 6, 6, 3, 2..." does not work.

I gave long sequences, but I recommend starting with a couple short simple ones to see if they work. This might be tough but boy are you all going to be proud of yourselves when you figure it out! :-D