Which recursive formula can be used to define this sequence for n > 1? 15, 22, 29, 36, 43, 50, ... Choices: (A)a = a + 7 (B)a = 22/15a (C)a = a + a + 7 (D)a = a + a - 7

Sequence Type: We have the sequence: 15, 22, 29, 36, 43, 50, ... 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 15 and 22. 22 - 15 = 7 Common difference (d): 7Recursive Formula: Identify the recursive formula for the given sequence. Substitute 7 for d in a_n = a_(n-1) + d. Recursive formula: a_n = a_(n-1) + 7

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Which recursive formula can be used to define this sequence for n > 1? $\newline$ $15, 22, 29, 36, 43, 50, \ldots$ $\newline$ Choices: $\newline$ (A) $a_{n} = a_{n-1} + 7$ $\newline$ (B) $a_{n} = \frac{22}{15}a_{n-1}$ $\newline$ (C) $a_{n} = a_{n-1} + a_{n-1} + 7$ $\newline$ (D) $a_{n} = a_{n-1} + a_{n-1} - 7$

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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, 22, 29, 36, 43, 50, \ldots

\newline

Choices:

\newline

(A)

a_{n} = a_{n-1} + 7

\newline

(B)

a_{n} = \frac{22}{15}a_{n-1}

\newline

(C)

a_{n} = a_{n-1} + a_{n-1} + 7

\newline

(D)

a_{n} = a_{n-1} + a_{n-1} - 7

Sequence Type: We have the sequence: $15, 22, 29, 36, 43, 50, \ldots$ $\newline$ 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, $d$ . Two consecutive terms are $15$ and $22$ . $22 - 15 = 7$ Common difference ( $d$ ): $7$
Recursive Formula: Identify the recursive formula for the given sequence. $\newline$ Substitute $7$ for $d$ in $a_n = a_{(n-1)} + d$ . $\newline$ Recursive formula: $a_n = a_{(n-1)} + 7$