b(n)=1(-2)^(n-1) What is the 4^("th ") term in the sequence?

Sequence definition: Understand the sequence definition. The sequence is defined by the formula b(n)=1(-2)^(n-1), which means that to find the nth term, we need to substitute the value of n into the formula and simplify.Substitute value of n=4: Substitute the value of n=4 into the formula to find the 4th term. We have b(4)=1(-2)^(4-1).Simplify the exponent: Simplify the exponent. Calculate (-2)^(4-1) which is (-2)^3.Calculate (-2)^3: Calculate the value of (-2)^3. (-2)^3 is -2 * -2 * -2, which equals -8.Multiply by 1: Multiply the result by 1 as per the sequence definition. 1 * -8 equals -8.

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b(n)=1(-2)^(n-1)
What is the
4^("th ") term in the sequence?

$b(n)=1(-2)^{n-1}$ $\newline$ What is the $4^{\text {th }}$ term in the sequence?

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b(n)=1(-2)^{n-1}

\newline

What is the

4^{\text {th }}

term in the sequence?

Sequence definition: Understand the sequence definition. $\newline$ The sequence is defined by the formula $b(n)=1(-2)^{(n-1)}$ , which means that to find the $n$ th term, we need to substitute the value of $n$ into the formula and simplify.
Substitute value of $n=$ $4$ : Substitute the value of $n=$ $4$ into the formula to find the $4$ th term. $\newline$ We have $b($ $4$ )= $1$ ( $-2$ )^{( $4$ $-1$ )}.
Simplify the exponent: Simplify the exponent. $\newline$ Calculate $(-2)^{(4-1)}$ which is $(-2)^3$ .
Calculate $(-2)^3$ : Calculate the value of $(-2)^3$ . $\newline$ $(-2)^3$ is $-2 \times -2 \times -2$ , which equals $-8$ .
Multiply by $1$ : Multiply the result by $1$ as per the sequence definition. $\newline$ $1 \times -8$ equals $-8$ .