What is the nth term for 0, 4, 11, 21, 34, 50?

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Oddman Profile
Oddman answered
First differences are
  4, 7, 10, 13, 16.
Second differences are all 3.

The Nth term will be given by
  0 + (n-1)/1*(4 + (n-2)/2*(3))
where 0, 4, and 3 are the initial term of each of the series.

This can be written as
  n(3n-1)/2 - 1

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