Complete the recursive formula of the arithmetic sequence {:[-17","-8","1","10","dots.],[a(1)=],[a(n)=a(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 -17 from -8 to find the common difference. Calculation: -8 - (-17) = -8 + 17 = 9.Confirm common difference: Confirm the common difference by checking if it is consistent between other consecutive terms. For example, subtract -8 from 1 to see if the common difference is still 9. Calculation: 1 - (-8) = 1 + 8 = 9.Write recursive formula: Write the recursive formula for the arithmetic sequence using the first term and the common difference. The recursive formula has the form a(n) = a(n-1) + d, where d is the common difference. Since the first term a(1) is given as -17 and the common difference d is 9, the recursive formula is a(n) = a(n-1) + 9.

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Complete the recursive formula of the arithmetic sequence

{:[-17","-8","1","10","dots.],[a(1)=],[a(n)=a(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $\begin{array}{l} -17,-8,1,10, \ldots . \\ a(1)= \\ a(n)=a(n-1)+ \end{array}$

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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} -17,-8,1,10, \ldots . \\ a(1)= \\ a(n)=a(n-1)+ \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 $-17$ from $-8$ to find the common difference. $\newline$ Calculation: $-8 - (-17) = -8 + 17 = 9$ .
Confirm common difference: Confirm the common difference by checking if it is consistent between other consecutive terms. For example, subtract $-8$ from $1$ to see if the common difference is still $9$ . $\newline$ Calculation: $1 - (-8) = 1 + 8 = 9$ .
Write recursive formula: Write the recursive formula for the arithmetic sequence using the first term and the common difference. The recursive formula has the form $a(n) = a(n-1) + d$ , where $d$ is the common difference. $\newline$ Since the first term $a(1)$ is given as $-17$ and the common difference $d$ is $9$ , the recursive formula is $a(n) = a(n-1) + 9$ .