Which word best describes this formula for the sequence an? an = 2an - 3 + 8an - 4 - 2n^2 - 8n + 6 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = 2a_(n-3) + 8a_(n-4) - 2n^2 - 8n + 6. Does it use previous terms of the sequence? Yes, it uses a_(n-3) and a_(n-4), which are earlier terms.Dependency on Previous Terms: Since the formula for a_n depends on previous terms of the sequence, it's not explicit. It's defined in terms of itself, which is a characteristic of a recursive formula.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $\newline$ $a_n = 2a_{n - 3} + 8a_{n - 4} - 2n^2 - 8n + 6$ $\newline$ $\newline$ 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

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\newline

a_n = 2a_{n - 3} + 8a_{n - 4} - 2n^2 - 8n + 6

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\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

\newline

Examine Formula: Look at the formula: $a_n = 2a_{n-3} + 8a_{n-4} - 2n^2 - 8n + 6$ . Does it use previous terms of the sequence? Yes, it uses $a_{n-3}$ and $a_{n-4}$ , which are earlier terms.
Dependency on Previous Terms: Since the formula for $a_n$ depends on previous terms of the sequence, it's not explicit. $\newline$ It's defined in terms of itself, which is a characteristic of a recursive formula.