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

Check Formula: Look at the formula: a_n = 9(-3/2)^(n - 2) - 3. Does it use previous terms of the sequence to find the nth term?Determine Use of Previous Terms: No, it doesn't use previous terms. It calculates the nth term using the index n directly.Identify Explicit Formula: So, since the formula gives us the nth term without needing earlier terms, it's an explicit formula.

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

\newline

Choices:

\newline

(A) explicit

\newline

(B) recursive

\newline

Check Formula: Look at the formula: $a_n = 9(-\frac{3}{2})^{(n - 2)} - 3$ . Does it use previous terms of the sequence to find the $n$ th term?
Determine Use of Previous Terms: No, it doesn't use previous terms. It calculates the $n$ th term using the index $n$ directly.
Identify Explicit Formula: So, since the formula gives us the $n$ th term without needing earlier terms, it's an explicit formula.