n-9+3
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Well, darling, the nth term for the sequence 18, 12, 6, 0, -6 is -6n + 24. So, if you plug in n = 1, you get 18; n = 2 gives you 12, and so on. Just a little math magic for you to enjoy!
The pattern for the sequence 0 0 1 3 6 is that each term is obtained by adding the previous term multiplied by its position in the sequence (starting from 1). In other words, the nth term is given by n*(n-1)/2.
If you mean: 6 12 18 24 then the nth term is 6n
The nth term can be anything you like! However, the simplest poynomial that fits these points is given by the rule: Un = n2 + 2 for n = 1, 2, 3, ...
1, 3, 6, 10, ... The nth term is n*(n+1)/2