Which word best describes this formula for the sequence an? an = -5an - 2 + 5an - 3 + 8an - 4 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = -5a_(n-2) + 5a_(n-3) + 8a_(n-4). Does it use previous terms of the sequence to find the nth term? Yes, it uses a_(n-2), a_(n-3), and a_(n-4).Identify Type: Since the formula uses previous terms, it's not explicit. Explicit formulas calculate the nth term without using previous 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 $a_n$ ? $\newline$ $a_n = -5a_{n - 2} + 5a_{n - 3} + 8a_{n - 4}$ $\newline$ 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 = -5a_{n - 2} + 5a_{n - 3} + 8a_{n - 4}

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Examine Formula: Look at the formula: $a_n = -5a_{n-2} + 5a_{n-3} + 8a_{n-4}$ . Does it use previous terms of the sequence to find the $n$ th term? Yes, it uses $a_{n-2}$ , $a_{n-3}$ , and $a_{n-4}$ .
Identify Type: Since the formula uses previous terms, it's not explicit. Explicit formulas calculate the $n^{\text{th}}$ term without using previous terms.
Recursive Definition: The formula is recursive because it defines each term using previous terms in the sequence.