b(n)=-8-2(n-1) Find the 9^("th ") term in the sequence.

Understanding the sequence formula: Understand the sequence formula. The given sequence formula is b(n) = -8 - 2(n - 1). This is an arithmetic sequence where the first term is when n = 1.Plugging in the value for the 9th term: Plug in the value for the 9th term. To find the 9th term, we substitute n = 9 into the sequence formula: b(9) = -8 - 2(9 - 1).Simplifying the expression: Simplify the expression. Simplify the expression inside the parentheses first: b(9) = -8 - 2(8).Performing the multiplication: Perform the multiplication. Now multiply 2 by 8: b(9) = -8 - 16.Combining like terms: Combine like terms. Add the numbers together to get the 9th term: b(9) = -8 - 16 = -24.

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b(n)=-8-2(n-1)
Find the
9^("th ") term in the sequence.

$b(n)=-8-2(n-1)$ $\newline$ Find the $9^{\text {th }}$ term in the sequence.

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b(n)=-8-2(n-1)

\newline

Find the

9^{\text {th }}

term in the sequence.

Understanding the sequence formula: Understand the sequence formula. $\newline$ The given sequence formula is $b(n) = -8 - 2(n - 1)$ . This is an arithmetic sequence where the first term is when $n = 1$ .
Plugging in the value for the $9$ th term: Plug in the value for the $9^{\text{th}}$ term. $\newline$ To find the $9^{\text{th}}$ term, we substitute $n = 9$ into the sequence formula: $b(9) = -8 - 2(9 - 1)$ .
Simplifying the expression: Simplify the expression. $\newline$ Simplify the expression inside the parentheses first: $b(9) = -8 - 2(8)$ .
Performing the multiplication: Perform the multiplication. $\newline$ Now multiply $2$ by $8$ : $b(9) = -8 - 16$ .
Combining like terms: Combine like terms. $\newline$ Add the numbers together to get the $9^{\text{th}}$ term: $b(9) = -8 - 16 = -24$ .