Question

which word best describes this formula for the sequence $a_n$?
$a_n = 4a_{n - 2} - 3a_{n - 3} + 10n^2 + 3n - 7$
explicit recursive

Explanation:

A recursive sequence formula defines a term using previous terms of the sequence. The given formula defines $a_n$ using $a_{n-2}$ and $a_{n-3}$, which are earlier terms in the sequence. An explicit formula would define $a_n$ solely in terms of $n$, without referencing prior terms.

Answer:

recursive