Which word best describes this formula for the sequence an? an = 6an - 1 + 5an - 3 + 8n^2 - 17 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = 6a_(n-1) + 5a_(n-3) + 8n^2 - 17. Does it use previous terms of the sequence? Yes, it uses a_(n-1) and a_(n-3), which are earlier terms in the sequence.Implicit or Explicit?: Since the formula uses previous terms, it's not explicit. An explicit formula would directly calculate a_n based on n alone.Recursive Definition: The formula is recursive because it defines a term based on previous terms in the sequence.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = 6a_{n - 1} + 5a_{n - 3} + 8n^2 - 17$ $\newline$ 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 = 6a_{n - 1} + 5a_{n - 3} + 8n^2 - 17

\newline

Choices:

\newline

(A) explicit

\newline

(B) recursive

Examine Formula: Look at the formula: $a_n = 6a_{n-1} + 5a_{n-3} + 8n^2 - 17$ . Does it use previous terms of the sequence? Yes, it uses $a_{n-1}$ and $a_{n-3}$ , which are earlier terms in the sequence.
Implicit or Explicit?: Since the formula uses previous terms, it's not explicit. An explicit formula would directly calculate $a_n$ based on $n$ alone.
Recursive Definition: The formula is recursive because it defines a term based on previous terms in the sequence.