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. For instance, subtracting the first term from the second term: -11 - (-15) = -11 + 15 = 4. Confirm Consistency: Confirm the common difference by checking if it is consistent between other consecutive terms. For example, subtract the second term from the third term: -7 - (-11) = -7 + 11 = 4. The common difference is consistent and is 4. Write Recursive Formula: Write the recursive formula for the arithmetic sequence. The recursive formula has two parts: the first term and the rule for finding the nth term from the (n-1)th term. The first term, c(1), is given as -15. The rule for finding the nth term is to add the common difference to the (n-1)th term, which is c(n) = c(n-1) + 4.

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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. For instance, subtracting the first term from the second term: $-11 - (-15) = -11 + 15 = 4$ .
Confirm Consistency: Confirm the common difference by checking if it is consistent between other consecutive terms. For example, subtract the second term from the third term: $-7 - (-11) = -7 + 11 = 4$ . The common difference is consistent and is $4$ .
Write Recursive Formula: Write the recursive formula for the arithmetic sequence. The recursive formula has two parts: the first term and the rule for finding the $n$ th term from the $(n-1)$ th term. The first term, $c(1)$ , is given as $-15$ . The rule for finding the $n$ th term is to add the common difference to the $(n-1)$ th term, which is $c(n) = c(n-1) + 4$ .