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

Examine Formula: Look at the formula: a_n = -2a_(n-1) - 3a_(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).Implicit vs Explicit: Since the formula uses previous terms, it's not explicit. Explicit formulas give the nth term without needing earlier terms.Recursive Definition: The formula is recursive because it defines each term using previous terms in the sequence.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -2a_{n - 1} - 3a_{n - 2} + 9a_{n - 3}$ $\newline$ 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 = -2a_{n - 1} - 3a_{n - 2} + 9a_{n - 3}

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Examine Formula: Look at the formula: $a_n = -2a_{n-1} - 3a_{n-2} + 9a_{n-3}$ . Does it use previous terms of the sequence to find the nth term? Yes, it uses $a_{n-1}$ , $a_{n-2}$ , and $a_{n-3}$ .
Implicit vs Explicit: Since the formula uses previous terms, it's not explicit. Explicit formulas give the $n$ th term without needing earlier terms.
Recursive Definition: The formula is recursive because it defines each term using previous terms in the sequence.