Recursive definition of sequences inverse/equivalency.

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So here's the problem:

"Give a recursive definition of the sequence ($a_n$), $n = 1, 2, 3, ...$ if $a_n = 4n - 2$."

Here's my answer:$$t_1 = 2; t_n = t_{n-1} + 4$$

However, I know this could also be the answer:$$a_1 = 2; a_{n+1} = a_n + 4 \text{ for all }n \ge 2$$

Is my answer incorrect or does it not matter which order I put them in? Thanks!