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

Examine Formula: Look at the formula: a_n = 4a_(n-1) - 5a_(n-2) + 3n - 3. Does it use previous terms of the sequence? Yes, it uses a_(n-1) and a_(n-2).Identify Dependency: Since the formula uses previous terms, it's not explicit. It's defined in terms of earlier terms in the sequence.Determine Recursiveness: So, the formula is recursive because it relies on the values of a_(n-1) and a_(n-2).

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

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Examine Formula: Look at the formula: $a_n = 4a_{n-1} - 5a_{n-2} + 3n - 3$ . Does it use previous terms of the sequence? Yes, it uses $a_{n-1}$ and $a_{n-2}$ .
Identify Dependency: Since the formula uses previous terms, it's not explicit. It's defined in terms of earlier terms in the sequence.
Determine Recursiveness: So, the formula is recursive because it relies on the values of $a_{(n-1)}$ and $a_{(n-2)}$ .