Complete the recursive formula of the arithmetic sequence {:[13","6","-1","-8","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 13, 6, -1, -8, ... Subtract the second term from the first term to find the common difference: 6 - 13 = -7. Verify common difference: Verify the common difference by subtracting another pair of consecutive terms to ensure consistency. Subtract the fourth term from the third term: -8 - (-1) = -7. The common difference is consistent, so it is -7. Write recursive formula: Write the recursive formula for the arithmetic sequence using the common difference. The recursive formula has the form c(n) = c(n-1) + d, where d is the common difference. Since we have found that d = -7, the recursive formula is c(n) = c(n-1) - 7. State initial term: State the initial term of the sequence in the recursive formula. The first term of the sequence, c(1), is given as 13. So the complete recursive formula is c(1) = 13, c(n) = c(n-1) - 7 for n > 1.

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Complete the recursive formula of the arithmetic sequence

{:[13","6","-1","-8","dots],[c(1)=◻],[c(n)=c(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $13,6,-1,-8, \ldots \text {. }$ $\newline$ $c(1)=$ $\newline$ $c(n)=c(n-1)+$

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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

13,6,-1,-8, \ldots \text {. }

\newline

c(1)=

\newline

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 $13, 6, -1, -8, extellipsis$ Subtract the second term from the first term to find the common difference: $6 - 13 = -7$ .
Verify common difference: Verify the common difference by subtracting another pair of consecutive terms to ensure consistency. Subtract the fourth term from the third term: $-8 - (-1) = -7$ . The common difference is consistent, so it is $-7$ .
Write recursive formula: Write the recursive formula for the arithmetic sequence using the common difference. The recursive formula has the form $c(n) = c(n-1) + d$ , where $d$ is the common difference. Since we have found that $d = -7$ , the recursive formula is $c(n) = c(n-1) - 7$ .
State initial term: State the initial term of the sequence in the recursive formula. The first term of the sequence, $c(1)$ , is given as $13$ . So the complete recursive formula is $c(1) = 13$ , $c(n) = c(n-1) - 7$ for n > 1.