a(n)=-6-4(n-1) Find the 4^("th ") term in the sequence.

Understand the formula: Understand the sequence formula. The given sequence is defined by the formula a(n) = -6 - 4(n - 1). This is an arithmetic sequence where each term is generated by starting with -6 and subtracting 4 times the quantity (n - 1), where n is the position of the term in the sequence.Substitute n with 4: Substitute n with 4 to find the 4th term. To find the 4th term, a(4), we substitute n with 4 in the formula: a(4) = -6 - 4(4 - 1).Perform calculation inside parentheses: Perform the calculation inside the parentheses. Calculate the value inside the parentheses: 4 - 1 = 3. So, a(4) = -6 - 4(3).Multiply 4 by 3: Multiply 4 by 3. Now, multiply 4 by 3 to get 12: 4 * 3 = 12. So, a(4) = -6 - 12.Subtract 12 from -6: Subtract 12 from -6. Finally, subtract 12 from -6 to find the 4th term: a(4) = -6 - 12 = -18.

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a(n)=-6-4(n-1)
Find the
4^("th ") term in the sequence.

$a(n)=-6-4(n-1)$ $\newline$ Find the $4^{\text {th }}$ term in the sequence.

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a(n)=-6-4(n-1)

\newline

Find the

4^{\text {th }}

term in the sequence.

Understand the formula: Understand the sequence formula. $\newline$ The given sequence is defined by the formula $a(n) = -6 - 4(n - 1)$ . This is an arithmetic sequence where each term is generated by starting with $-6$ and subtracting $4$ times the quantity $(n - 1)$ , where $n$ is the position of the term in the sequence.
Substitute $n$ with $4$ : Substitute $n$ with $4$ to find the $4$ th term. $\newline$ To find the $4$ th term, $a(4)$ , we substitute $n$ with $4$ in the formula: $a(4) = -6 - 4(4 - 1)$ .
Perform calculation inside parentheses: Perform the calculation inside the parentheses. $\newline$ Calculate the value inside the parentheses: $4 - 1 = 3$ . $\newline$ So, $a(4) = -6 - 4(3)$ .
Multiply $4$ by $3$ : Multiply $4$ by $3$ . $\newline$ Now, multiply $4$ by $3$ to get $12$ : $4 \times 3 = 12$ . $\newline$ So, $a(4) = -6 - 12$ .
Subtract $12$ from $-6$ : Subtract $12$ from $-6$ . Finally, subtract $12$ from $-6$ to find the $4$ th term: $a(4) = -6 - 12 = -18$ .