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 is given as b(1) = -5.Determine Common Difference: Determine the common difference by subtracting the first term from the second term: -25 - (-5) = -25 + 5 = -20.Verify Consistency: Verify the common difference by subtracting subsequent terms to ensure it is consistent: -45 - (-25) = -45 + 25 = -20 and -65 - (-45) = -65 + 45 = -20. The common difference is consistent, so it is an arithmetic sequence with a common difference of -20.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. Here, b(1) = -5 and d = -20.Substitute Values: Substitute the values into the recursive formula to get the final expression: 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 is given as $b(1) = -5$ .
Determine Common Difference: Determine the common difference by subtracting the first term from the second term: $-25 - (-5) = -25 + 5 = -20$ .
Verify Consistency: Verify the common difference by subtracting subsequent terms to ensure it is consistent: $-45 - (-25) = -45 + 25 = -20$ and $-65 - (-45) = -65 + 45 = -20$ . The common difference is consistent, so it is an arithmetic sequence with a common difference of $-20$ .
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. Here, $b(1) = -5$ and $d = -20$ .
Substitute Values: Substitute the values into the recursive formula to get the final expression: $b(n) = b(n-1) - 20$ .