Which recursive formula can be used to define this sequence for n > 1? 5, 18, 31, 44, 57, 70, ... Choices: (A)a = a - 13 (B)a = a + 13 (C)a = 18/5a (D)a = a + a - 13

Sequence Type: We have the sequence: 5, 18, 31, 44, 57, 70, ... Is the given sequence geometric or arithmetic? The difference between consecutive terms appears to be constant. The given sequence is likely arithmetic.Find Common Difference: Find the common difference, d, by subtracting two consecutive terms. For example, take the second term and subtract the first term: 18 - 5 = 13 Common difference (d): 13Identify Recursive Formula: Identify the recursive formula for the given sequence. Since the common difference is 13, the recursive formula will involve adding 13 to the previous term. The recursive formula should be of the form: a_n = a_(n-1) + d Substitute 13 for d in the formula. Recursive formula: a_n = a_(n-1) + 13

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Which recursive formula can be used to define this sequence for n > 1? $\newline$ $5, 18, 31, 44, 57, 70, \ldots$ $\newline$ Choices: $\newline$ (A) $a_n = a_{n-1} - 13$ $\newline$ (B) $a_n = a_{n-1} + 13$ $\newline$ (C) $a_n = \frac{18}{5}a_{n-1}$ $\newline$ (D) $a_n = a_{n-1} + a_{n-1} - 13$

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Math Problems

Algebra 1

Write a formula for a recursive sequence

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

n > 1

\newline

5, 18, 31, 44, 57, 70, \ldots

\newline

Choices:

\newline

(A)

a_n = a_{n-1} - 13

\newline

(B)

a_n = a_{n-1} + 13

\newline

(C)

a_n = \frac{18}{5}a_{n-1}

\newline

(D)

a_n = a_{n-1} + a_{n-1} - 13

Sequence Type: We have the sequence: $5, 18, 31, 44, 57, 70, \ldots$ $\newline$ Is the given sequence geometric or arithmetic? $\newline$ The difference between consecutive terms appears to be constant. $\newline$ The given sequence is likely arithmetic.
Find Common Difference: Find the common difference, $d$ , by subtracting two consecutive terms. $\newline$ For example, take the second term and subtract the first term: $18 - 5 = 13$ $\newline$ Common difference ( $d$ ): $13$
Identify Recursive Formula: Identify the recursive formula for the given sequence. $\newline$ Since the common difference is $13$ , the recursive formula will involve adding $13$ to the previous term. $\newline$ The recursive formula should be of the form: $a_n = a_{(n-1)} + d$ $\newline$ Substitute $13$ for $d$ in the formula. $\newline$ Recursive formula: $a_n = a_{(n-1)} + 13$