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If your three dots at the end would mean that 3 elements left then the pattern is the palindromic one. However if we don`t know how many elements are left, we cannot state this.


This is the pattern, 800(1), 2*800(1), 3*800(2), 4*800(2), 5*800*(3) now, in the end, there is 6400 which seems like the number, in the end, is reduced, there is only one such number is the series, so it will be very difficult to guess without options or one more number in the series to know the next one. for now, the series can have multiple ...


The puzzle asks for a maximal sum for the numbers on the edges, so...


The answer is: Because the filled-up pentagon looks like: The sum in each edge is 38. This is the maximum I got after several trial & errors.


Short and Concise solution, Finally,


My first guess would be because Of course, this assumes I don't think


The problem is not really about products, more about finding an arrangement of digits 1 to N-1 (for base N, since digit N does not exist in base N), that conforms to the criterion that any pair in the arrangement is part of the set of single digit products. There could be a better way to solve this, but I wrote a small program that creates a table of ...


As an addendum to the answer from @Arnaud:


One solution is Thought process:


After @SteveV's progress: Then, given the language tag, we now Giving Meaning (approximately)


I get Because

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