Which word best describes this formula for the sequence an? an = -3an - 1 - 5an - 2 + 4n - 11 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = -3a_(n-1) - 5a_(n-2) + 4n - 11. Does it use previous terms of the sequence? Yes, it uses a_(n-1) and a_(n-2).Identify Formula Type: Since the formula uses previous terms, what type of formula is it? It's a recursive formula because it defines each term using the previous ones.Final Answer: So, what's the answer to the question prompt? The word that best describes the formula is ＂recursive＂.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -3a_{n - 1} - 5a_{n - 2} + 4n - 11$ $\newline$ 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

a_n = -3a_{n - 1} - 5a_{n - 2} + 4n - 11

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

\newline

Examine Formula: Look at the formula: $a_n = -3a_{n-1} - 5a_{n-2} + 4n - 11$ . Does it use previous terms of the sequence? Yes, it uses $a_{n-1}$ and $a_{n-2}$ .
Identify Formula Type: Since the formula uses previous terms, what type of formula is it? $\newline$ It's a recursive formula because it defines each term using the previous ones.
Final Answer: So, what's the answer to the question prompt? $\newline$ The word that best describes the formula is ＂recursive＂.