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Best Answer

The sequence is too short for a definitive answer.

One possibility is

Un = n2 - 2n + 2 for n = 1, 2, 3, ...

another is

Un = (n3 - n + 6)/6

or

Un = (n3 - 3n2 + 5)/3

There are many more.

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Q: How do you work out the rule of 1 2 5 sequence?
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