Which word best describes this formula for the sequence an? an = -6an - 2 - 2an - 3 Choices: (A)explicit (B)recursive

Examine Formula: Look at the formula: a_n = -6a_(n-2) - 2a_(n-3). Does it use previous terms of the sequence to find the nth term? Yes, it uses a_(n-2) and a_(n-3), which are earlier terms.Implicit vs Explicit: Since the formula for a_n depends on the values of previous terms, it's not explicit. An explicit formula would directly calculate a_n from n without needing previous terms.Recursion Explanation: The formula is recursive because it defines each term using the previous terms in the sequence. So, the correct choice is (B) recursive.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -6a_{n - 2} - 2a_{n - 3}$ $\newline$ 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 = -6a_{n - 2} - 2a_{n - 3}

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

Examine Formula: Look at the formula: $a_n = -6a_{n-2} - 2a_{n-3}$ . Does it use previous terms of the sequence to find the $n$ th term? Yes, it uses $a_{n-2}$ and $a_{n-3}$ , which are earlier terms.
Implicit vs Explicit: Since the formula for $a_n$ depends on the values of previous terms, it's not explicit. An explicit formula would directly calculate $a_n$ from $n$ without needing previous terms.
Recursion Explanation: The formula is recursive because it defines each term using the previous terms in the sequence. $\newline$ So, the correct choice is (B) recursive.