Which word best describes this formula for the sequence an? an = -2(-5/9)^(n + 3) + 3 Choices: (A)explicit (B)recursive

Look at the formula: Look at the formula: a_n = -2(-5/9)^(n + 3) + 3. Does it use previous terms of the sequence to find the nth term?Formula analysis: Since the formula only uses the index n to find the nth term and doesn't rely on previous terms, it's not recursive.Explicit formula determination: The formula directly calculates the nth term without needing other terms, so it's an explicit formula.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = -2\left(-\frac{5}{9}\right)^{(n + 3)} + 3$ $\newline$ 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

a_n = -2\left(-\frac{5}{9}\right)^{(n + 3)} + 3

\newline

Choices:

\newline

(A) explicit

\newline

(B) recursive

\newline

Look at the formula: Look at the formula: $a_n = -2(-\frac{5}{9})^{(n + 3)} + 3$ . Does it use previous terms of the sequence to find the $n$ th term?
Formula analysis: Since the formula only uses the index $n$ to find the $n$ th term and doesn't rely on previous terms, it's not recursive.
Explicit formula determination: The formula directly calculates the $n$ th term without needing other terms, so it's an explicit formula.