Which word best describes this formula for the sequence an? an = -4an - 1 + an - 4 - 12n^2 - 13n + 14 Choices: (A)explicit (B)recursive

Identify Formula Type: The formula given is an = -4an - 1 + an - 4 - 12n^2 - 13n + 14. We need to determine if it's explicit or recursive.Explicit vs Recursive: An explicit formula provides a way to find the nth term without knowing any other terms in the sequence. A recursive formula provides a way to find the nth term using one or more previous terms.Dependence on Previous Terms: The formula has terms like an - 1 and an - 4, which are previous terms in the sequence. This means the current term an is defined using previous terms.Conclusion: Since the formula depends on previous terms, it is a recursive formula.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -4a_{n - 1} + a_{n - 4} - 12n^2 - 13n + 14$ $\newline$ Choices: $\newline$ (A)explicit $\newline$ (B)recursive $\newline$

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Precalculus

Identify a sequence as explicit or recursive

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Q. Which word best describes this formula for the sequence

a_n

\newline

a_n = -4a_{n - 1} + a_{n - 4} - 12n^2 - 13n + 14

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

\newline

Identify Formula Type: The formula given is $a_n = -4a_{n - 1} + a_{n - 4} - 12n^2 - 13n + 14$ . We need to determine if it's explicit or recursive.
Explicit vs Recursive: An explicit formula provides a way to find the $n$ th term without knowing any other terms in the sequence. A recursive formula provides a way to find the $n$ th term using one or more previous terms.
Dependence on Previous Terms: The formula has terms like $a_n - 1$ and $a_n - 4$ , which are previous terms in the sequence. This means the current term $a_n$ is defined using previous terms.
Conclusion: Since the formula depends on previous terms, it is a recursive formula.