A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.
Which recursive equation represents the pattern?
an = an - 1 + 3 (n - 1)
an = an - 1 + 3 (n - 1)
an = an - 1 + (3n - 1)
an = an - 1 + (n - 1) 3
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