Which word best describes this formula for the sequence an? an = 5an - 2 + an - 3 - 15n - 5 Choices: (A)explicit (B)recursive

Check Formula: Look at the formula: a_n = 5a_(n-2) + a_(n-3) - 15n - 5. Does it use previous terms of the sequence? Yes, it uses a_(n-2) and a_(n-3).Use of Previous Terms: Since the formula uses previous terms, it's not explicit. It's defined in terms of earlier terms in the sequence.Recursive Formula: So, the formula is recursive because it relies on the values of previous terms to find the value of a_n.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = 5a_{n - 2} + a_{n - 3} - 15n - 5$ $\newline$ 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} + a_{n - 3} - 15n - 5

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Check Formula: Look at the formula: $a_n = 5a_{n-2} + a_{n-3} - 15n - 5$ . Does it use previous terms of the sequence? Yes, it uses $a_{n-2}$ and $a_{n-3}$ .
Use of Previous Terms: Since the formula uses previous terms, it's not explicit. $\newline$ It's defined in terms of earlier terms in the sequence.
Recursive Formula: So, the formula is recursive because it relies on the values of previous terms to find the value of $a_n$ .