Complete the recursive formula of the arithmetic sequence {:[-16","-33","-50","-67","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, subtract -16 from -33. Calculation: -33 - (-16) = -33 + 16 = -17. Check for math errors by verifying with another pair of terms: -50 - (-33) = -50 + 33 = -17.Calculate common difference: Since the common difference is consistent and is -17, we can write the recursive formula for the arithmetic sequence as c(n) = c(n-1) + d, where d is the common difference. Calculation: d = -17.Substitute into formula: Substitute the common difference into the recursive formula. Calculation: c(n) = c(n-1) - 17.Find first term: The first term of the sequence, c(1), is given as -16. This is the base case for the recursive formula. Calculation: c(1) = -16.

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Complete the recursive formula of the arithmetic sequence

{:[-16","-33","-50","-67","dots.],[c(1)=],[c(n)=c(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $\begin{array}{l} -16,-33,-50,-67, \ldots . \\ c(1)= \square\\ c(n)=c(n-1)+\square \end{array}$

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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} -16,-33,-50,-67, \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, subtract $-16$ from $-33$ . $\newline$ Calculation: $-33 - (-16) = -33 + 16 = -17$ . $\newline$ Check for math errors by verifying with another pair of terms: $-50 - (-33) = -50 + 33 = -17$ .
Calculate common difference: Since the common difference is consistent and is $-17$ , we can write the recursive formula for the arithmetic sequence as $c(n) = c(n-1) + d$ , where $d$ is the common difference. $\newline$ Calculation: $d = -17$ .
Substitute into formula: Substitute the common difference into the recursive formula. $\newline$ Calculation: $c(n) = c(n-1) - 17$ .
Find first term: The first term of the sequence, $c(1)$ , is given as $-16$ . This is the base case for the recursive formula. $\newline$ Calculation: $c(1) = -16$ .