Complete the recursive formula of the arithmetic sequence 4,22,40,58,dots".. " {:[b(1)=],[b(n)=b(n-1)+]:}

Identify first term: Identify the first term of the sequence. The first term, denoted as b(1), is the starting point of the sequence. In this case, the first term is 4.Determine common difference: Determine the common difference between consecutive terms. To find the common difference, subtract the first term from the second term: 22 - 4 = 18. This common difference will be used to find each subsequent term from the previous term.Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is given by: b(1) = first term, b(n) = b(n-1) + d, where d is the common difference and n > 1. Substitute the known values into the formula: b(1) = 4, b(n) = b(n-1) + 18, for n > 1.

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Complete the recursive formula of the arithmetic sequence

4,22,40,58,dots".. "

{:[b(1)=],[b(n)=b(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $4,22,40,58, \ldots \text {.. }$ $\newline$ $\begin{array}{l} b(1) = \square \\ b(n) = b(n-1)+\square\\ \end{array}$

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Algebra 2

Write a formula for an arithmetic sequence

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Q. Complete the recursive formula of the arithmetic sequence

\newline

4,22,40,58, \ldots \text {.. }

\newline

\begin{array}{l} b(1) = \square \\ b(n) = b(n-1)+\square\\ \end{array}

Identify first term: Identify the first term of the sequence. The first term, denoted as $b(1)$ , is the starting point of the sequence. In this case, the first term is $4$ .
Determine common difference: Determine the common difference between consecutive terms. To find the common difference, subtract the first term from the second term: $22 - 4 = 18$ . This common difference will be used to find each subsequent term from the previous term.
Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is given by: $\newline$ $b(1) =$ first term, $\newline$ $b(n) = b(n-1) + d$ , where $d$ is the common difference and n > 1. $\newline$ Substitute the known values into the formula: $\newline$ $b(1) = 4$ , $\newline$ $b(n) = b(n-1) + 18$ , for n > 1.