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There are infinitely many possible rules. One simple rule, for input n isU(n) = (n^2 + 3n + 2)/2 = (n + 1)*(n + 2)/2

or, equivalently, the sum of all the integers from 1 to n+1.

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Q: I have an input output table and can't find the rule the inputs are the first numbers and the outputs are the seconds numbers in each pair I will list they are 1 and 3 2 and 6 and 3 and 10?
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