Which word best describes this formula for the sequence an? an = -6an - 1 + 5an - 4 + 15n^2 - 6n - 1 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = -6a_(n - 1) + 5a_(n - 4) + 15n^2 - 6n - 1. Does it use previous terms of the sequence? Yes, it uses a_(n - 1) and a_(n - 4), which are earlier terms in the sequence.Utilization of Previous Terms: Since the formula uses previous terms, it's not explicit. It's defined in terms of itself, which means it's recursive.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $\newline$ $a_n = -6a_{n - 1} + 5a_{n - 4} + 15n^2 - 6n - 1$ $\newline$ Choices: $\newline$ (A)explicit $\newline$ (B)recursive $\newline$

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Math Problems

Algebra 1

Identify a sequence as explicit or recursive

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Q. Which word best describes this formula for the sequence

a_n

\newline

\newline

a_n = -6a_{n - 1} + 5a_{n - 4} + 15n^2 - 6n - 1

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

\newline

Examine Formula: Look at the formula: $a_n = -6a_{n - 1} + 5a_{n - 4} + 15n^2 - 6n - 1$ . Does it use previous terms of the sequence? Yes, it uses $a_{n - 1}$ and $a_{n - 4}$ , which are earlier terms in the sequence.
Utilization of Previous Terms: Since the formula uses previous terms, it's not explicit. It's defined in terms of itself, which means it's recursive.