Complete the recursive formula of the arithmetic sequence {:[-15","-11","-7","-3","dots.],[c(1)=],[c(n)=c(n-1)+◻]:}

Identify common difference: Identify the common difference in the sequence by subtracting any term from the term that follows it. The sequence is -15, -11, -7, -3, ... Subtracting a term from the next term: -11 - (-15) = -11 + 15 = 4. The common difference, d, is 4.Write recursive formula: Write the recursive formula using the common difference. The recursive formula for an arithmetic sequence is given by c(n) = c(n-1) + d, where c(n) is the nth term, c(n-1) is the previous term, and d is the common difference. Since we have found that d = 4, we can write the recursive formula as c(n) = c(n-1) + 4.Determine first term: Determine the first term of the sequence to complete the recursive formula. The first term, c(1), is given as -15. So, we include this in our recursive formula.

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Complete the recursive formula of the arithmetic sequence

{:[-15","-11","-7","-3","dots.],[c(1)=],[c(n)=c(n-1)+◻]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $\begin{array}{l} -15,-11,-7,-3, \ldots . \\ c(1)=\square \\ c(n)=c(n-1)+\square \end{array}$

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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} -15,-11,-7,-3, \ldots . \\ c(1)=\square \\ c(n)=c(n-1)+\square \end{array}

Identify common difference: Identify the common difference in the sequence by subtracting any term from the term that follows it. The sequence is $-15$ , $-11$ , $-7$ , $-3$ , ... Subtracting a term from the next term: $-11 - (-15) = -11 + 15 = 4$ . The common difference, $d$ , is $4$ .
Write recursive formula: Write the recursive formula using the common difference. The recursive formula for an arithmetic sequence is given by $c(n) = c(n-1) + d$ , where $c(n)$ is the nth term, $c(n-1)$ is the previous term, and $d$ is the common difference. Since we have found that $d = 4$ , we can write the recursive formula as $c(n) = c(n-1) + 4$ .
Determine first term: Determine the first term of the sequence to complete the recursive formula. The first term, $c(1)$ , is given as $-15$ . So, we include this in our recursive formula.