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Most of those riddles work with pretty basic patterns: differences between consecutive numbers, multiplications, or alternating operations. What I'd recommend is that you write out the sequence on paper and try subtracting the numbers from each other to see if there's a constant progression, or if each number is multiplied/divided by something fixed. If that doesn't work, check if there's a pattern that repeats every two or three numbers, or if some digits relate to each other (like the sum of previous digits). Honestly, once you identify what type of pattern it is, the next number practically figures itself out; the trick is to be methodical and not assume anything without checking it two or three times.

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