Complete the recursive formula of the arithmetic sequence {:[-3","-1","1","3","dots],[b(1)=◻],[b(n)=b(n-1)+]:}

Identify first term: Identify the first term of the sequence. The first term is given as -3.Determine common difference: Determine the common difference by subtracting the first term from the second term. The second term is -1, so the common difference is -1 - (-3) = 2.Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is b(n) = b(n-1) + d, where d is the common difference.Substitute common difference: Substitute the common difference into the recursive formula. Since the common difference is 2, the recursive formula becomes b(n) = b(n-1) + 2.Include initial condition: Include the initial condition that defines the first term of the sequence. The initial condition is b(1) = -3.

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Complete the recursive formula of the arithmetic sequence

{:[-3","-1","1","3","dots],[b(1)=◻],[b(n)=b(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $\begin{array}{l} -3,-1,1,3, \ldots \\ b(1)=\square \\ b(n)=b(n-1)+ \end{array}$

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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

\begin{array}{l} -3,-1,1,3, \ldots \\ b(1)=\square \\ b(n)=b(n-1)+ \end{array}

Identify first term: Identify the first term of the sequence. The first term is given as $-3$ .
Determine common difference: Determine the common difference by subtracting the first term from the second term. The second term is $-1$ , so the common difference is $-1 - (-3) = 2$ .
Write recursive formula: Write the recursive formula using the first term and the common difference. The recursive formula for an arithmetic sequence is $b(n) = b(n-1) + d$ , where $d$ is the common difference.
Substitute common difference: Substitute the common difference into the recursive formula. Since the common difference is $2$ , the recursive formula becomes $b(n) = b(n-1) + 2$ .
Include initial condition: Include the initial condition that defines the first term of the sequence. The initial condition is $b(1) = -3$ .