Which recursive formula can be used to define this sequence for n > 1? 15, 14, 13, 12, 11, 10, ... Choices: (A)a = a - 1 (B)a = 14/15a (C)a = -1a (D)a = a + a - 1

Determine Sequence Type: Determine if the sequence is arithmetic or geometric. The sequence is decreasing by the same amount each time, which suggests it is an arithmetic sequence.Calculate Common Difference: Calculate the common difference, d, of the sequence. The difference between the first two terms is 14 - 15 = -1. Common difference (d): -1Identify Recursive Formula: Identify the recursive formula for the given arithmetic sequence. Since the common difference is -1, the recursive formula will involve subtracting 1 from the previous term. Recursive formula: a_n = a_(n-1) - 1

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Which recursive formula can be used to define this sequence for n > 1? $\newline$ $15, 14, 13, 12, 11, 10, \ldots$ $\newline$ Choices: $\newline$ (A) $a_{n} = a_{n-1} - 1$ $\newline$ (B) $a_{n} = \frac{14}{15}a_{n-1}$ $\newline$ (C) $a_{n} = -1a_{n-1}$ $\newline$ (D) $a_{n} = a_{n-1} + a_{n-1} - 1$

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Math Problems

Algebra 1

Write a formula for a recursive sequence

Full solution

Q. Which recursive formula can be used to define this sequence for

n > 1

\newline

15, 14, 13, 12, 11, 10, \ldots

\newline

Choices:

\newline

(A)

a_{n} = a_{n-1} - 1

\newline

(B)

a_{n} = \frac{14}{15}a_{n-1}

\newline

(C)

a_{n} = -1a_{n-1}

\newline

(D)

a_{n} = a_{n-1} + a_{n-1} - 1

Determine Sequence Type: Determine if the sequence is arithmetic or geometric. $\newline$ The sequence is decreasing by the same amount each time, which suggests it is an arithmetic sequence.
Calculate Common Difference: Calculate the common difference, $d$ , of the sequence. $\newline$ The difference between the first two terms is $14 - 15 = -1$ . $\newline$ Common difference ( $d$ ): $-1$
Identify Recursive Formula: Identify the recursive formula for the given arithmetic sequence. $\newline$ Since the common difference is $-1$ , the recursive formula will involve subtracting $1$ from the previous term. $\newline$ Recursive formula: $a_n = a_{(n-1)} - 1$