Which recursive formula can be used to define this sequence for n > 1? 0, 15, 30, 45, 60, 75, ... Choices: (A)a = a + 15 (B)a = 3a (C)a = 15a (D)a = 1/15a

Sequence Type: We have the sequence: 0, 15, 30, 45, 60, 75, ... Is the given sequence geometric or arithmetic? The difference between consecutive terms is the same. The given sequence is arithmetic.Find Common Difference: Find the common difference, d. Two consecutive terms are 0 and 15. 15 - 0 = 15 Common difference (d): 15Recursive Formula: Identify the recursive formula for the given sequence. Substitute 15 for d in a_n = a_(n-1) + d. Recursive formula: a_n = a_(n-1) + 15

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Which recursive formula can be used to define this sequence for n > 1? $\newline$ $0, 15, 30, 45, 60, 75, \ldots$ $\newline$ Choices: $\newline$ (A) $a_n = a_{n-1} + 15$ $\newline$ (B) $a_n = 3a_{n-1}$ $\newline$ (C) $a_n = 15a_{n-1}$ $\newline$ (D) $a_n = \frac{1}{15}a_{n-1}$

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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

0, 15, 30, 45, 60, 75, \ldots

\newline

Choices:

\newline

(A)

a_n = a_{n-1} + 15

\newline

(B)

a_n = 3a_{n-1}

\newline

(C)

a_n = 15a_{n-1}

\newline

(D)

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

Sequence Type: We have the sequence: $0, 15, 30, 45, 60, 75, \ldots$ $\newline$ Is the given sequence geometric or arithmetic? $\newline$ The difference between consecutive terms is the same. $\newline$ The given sequence is arithmetic.
Find Common Difference: Find the common difference, $d$ . $\newline$ Two consecutive terms are $0$ and $15$ . $\newline$ $15 - 0 = 15$ $\newline$ Common difference ( $d$ ): $15$
Recursive Formula: Identify the recursive formula for the given sequence. $\newline$ Substitute $15$ for $d$ in $a_n = a_{(n-1)} + d$ . $\newline$ Recursive formula: $a_n = a_{(n-1)} + 15$