Complete the recursive formula of the arithmetic sequence {:[-5","-25","-45","-65","dots.],[b(1)=],[b(n)=b(n-1)+◻]:}

Identify first term: Identify the first term of the sequence. The first term, b(1), is given as -5. This will be the starting point of our recursive formula.Determine common difference: Determine the common difference by subtracting any term from the term that follows it. For instance, subtracting the first term from the second term: -25 - (-5) = -20. This is the common difference, which is consistent throughout the sequence.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. Since we have determined that the common difference is -20, we can write the recursive formula as b(n) = b(n-1) - 20.

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Complete the recursive formula of the arithmetic sequence

{:[-5","-25","-45","-65","dots.],[b(1)=],[b(n)=b(n-1)+◻]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $\begin{array}{l} -5,-25,-45,-65, \ldots . \\ b(1)=\square \\ b(n)=b(n-1)+\square \end{array}$

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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

\begin{array}{l} -5,-25,-45,-65, \ldots . \\ b(1)=\square \\ b(n)=b(n-1)+\square \end{array}

Identify first term: Identify the first term of the sequence. The first term, $b(1)$ , is given as $-5$ . This will be the starting point of our recursive formula.
Determine common difference: Determine the common difference by subtracting any term from the term that follows it. For instance, subtracting the first term from the second term: $-25 - (-5) = -20$ . This is the common difference, which is consistent throughout the sequence.
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. Since we have determined that the common difference is $-20$ , we can write the recursive formula as $b(n) = b(n-1) - 20$ .