Which word best describes this formula for the sequence an? an = -9an - 1 + 2an - 2 + 9an - 3 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = -9a_(n-1) + 2a_(n-2) + 9a_(n-3). Does it use previous terms of the sequence to find the nth term? Yes, it uses a_(n-1), a_(n-2), and a_(n-3).Identify Type: Since the formula depends on previous terms, it's not explicit. It's the other type of formula given in the choices.Correct Description: The correct word to describe the formula is ＂recursive＂ because it defines each term in the sequence by referring back to previous terms.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -9a_{n - 1} + 2a_{n - 2} + 9a_{n - 3}$ $\newline$ Choices: $\newline$ (A)explicit $\newline$ (B)recursive

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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

a_n = -9a_{n - 1} + 2a_{n - 2} + 9a_{n - 3}

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Examine Formula: Look at the formula: $a_n = -9a_{n-1} + 2a_{n-2} + 9a_{n-3}$ . Does it use previous terms of the sequence to find the nth term? Yes, it uses $a_{n-1}$ , $a_{n-2}$ , and $a_{n-3}$ .
Identify Type: Since the formula depends on previous terms, it's not explicit. It's the other type of formula given in the choices.
Correct Description: The correct word to describe the formula is ＂recursive＂ because it defines each term in the sequence by referring back to previous terms.