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It is easy to rush into this one and claim that it is "add 5". But that overlooks the fact that 20 and 25 do not feature in the pattern.

There are infinitely many possible answers. One of these is the polynomial:

Un = (n5 - 20n4 + 145n3 - 460n2 + 664n - 300)/6 for n = 1, 2, 3, ...

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Q: What is the pattern rule for this pattern 5 10 15 30 45 50?
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