Which word best describes this formula for the sequence an? an = 2 * 1^(n + 3) + 8 Choices: (A)explicit (B)recursive

Examine the Formula: Look at the formula: a_n = 2 * 1^(n + 3) + 8. Does it use previous terms of the sequence to find the nth term?Determine Recursiveness: Since the formula doesn't include terms like a_(n-1) or a_(n-2), it's not recursive. It directly calculates a_n based on the value of n.Identify Explicit Formula: The formula is an explicit formula because it allows us to find the nth term without knowing any other terms in the sequence.

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Which word best describes this formula for the sequence $a_n$ ? $\newline$ $a_n = 2 \times 1^{(n + 3)} + 8$ $\newline$ 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 \times 1^{(n + 3)} + 8

\newline

Choices:

\newline

(A) explicit

\newline

(B) recursive

\newline

Examine the Formula: Look at the formula: $a_n = 2 \times 1^{(n + 3)} + 8$ . Does it use previous terms of the sequence to find the $n$ th term?
Determine Recursiveness: Since the formula doesn't include terms like $a_{(n-1)}$ or $a_{(n-2)}$ , it's not recursive. It directly calculates $a_n$ based on the value of $n$ .
Identify Explicit Formula: The formula is an explicit formula because it allows us to find the $n$ th term without knowing any other terms in the sequence.