Which word best describes this formula for the sequence an? an = 2an - 1 - 12n^2 + 10n - 17 Choices: (A)explicit (B)recursive

Check Formula: Look at the formula: a_n = 2a_(n-1) - 12n^2 + 10n - 17. Does it use the previous term a_(n-1)? Yes, it does.Use of Previous Term: Since the formula uses the previous term a_(n-1), it's not just based on the index n. This means it's not explicit.Type of Formula: The formula is recursive because it defines each term using the previous term.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = 2a_{n - 1} - 12n^2 + 10n - 17$ $\newline$ 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 = 2a_{n - 1} - 12n^2 + 10n - 17

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Check Formula: Look at the formula: $a_n = 2a_{n-1} - 12n^2 + 10n - 17$ . Does it use the previous term $a_{n-1}$ ? Yes, it does.
Use of Previous Term: Since the formula uses the previous term $a_{(n-1)}$ , it's not just based on the index $n$ . This means it's not explicit.
Type of Formula: The formula is recursive because it defines each term using the previous term.