Which word best describes this formula for the sequence an? an = -6(-1)^(n + 1) + 9 Choices: (A)explicit (B)recursive

Check Formula: Look at the formula: a_n = -6(-1)^(n + 1) + 9. Does it use previous terms of the sequence to find the nth term?Determine Recursion: Since the formula only uses the index n to find the nth term and doesn't rely on any previous terms, it's not recursive.Identify Explicit: The formula directly calculates the nth term based on the value of n, so it's an explicit formula.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $\newline$ $a_n = -6(-1)^{(n + 1)} + 9$ $\newline$ $\newline$ Choices: $\newline$ (A)explicit $\newline$ (B)recursive $\newline$

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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

\newline

a_n = -6(-1)^{(n + 1)} + 9

\newline

\newline

Choices:

\newline

(A)explicit

\newline

(B)recursive

\newline

Check Formula: Look at the formula: $a_n = -6(-1)^{(n + 1)} + 9$ . Does it use previous terms of the sequence to find the $n$ th term?
Determine Recursion: Since the formula only uses the index $n$ to find the $n$ th term and doesn't rely on any previous terms, it's not recursive.
Identify Explicit: The formula directly calculates the $n$ th term based on the value of $n$ , so it's an explicit formula.