c(n)=-6(-(1)/(3))^(n-1) What is the 2^("nd ") term in the sequence?

Identify the term: Identify the term of the sequence we need to find. We are asked to find the second term in the sequence, which means we need to find c(2).Substitute the value: Substitute the value of n into the sequence formula. The formula for the sequence is c(n)=-6(-1/3)^(n-1). To find the second term, we substitute n=2 into the formula. c(2)=-6(-1/3)^(2-1)Simplify the exponent: Simplify the exponent. Calculate the value of (-1/3)^(2-1), which is (-1/3)^(1). (-1/3)^(1) = -1/3Multiply the result: Multiply the result by -6. Now we multiply -1/3 by -6 to get the second term. c(2) = -6 * (-1/3)Perform the multiplication: Perform the multiplication to find the second term. c(2) = -6 * (-1/3) = 6/3Simplify the fraction: Simplify the fraction. 6/3 simplifies to 2. c(2) = 2

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c(n)=-6(-(1)/(3))^(n-1)
What is the
2^("nd ") term in the sequence?

$c(n)=-6\left(-\frac{1}{3}\right)^{n-1}$ $\newline$ What is the $2^{\text {nd }}$ term in the sequence?

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Full solution

c(n)=-6\left(-\frac{1}{3}\right)^{n-1}

\newline

What is the

2^{\text {nd }}

term in the sequence?

Identify the term: Identify the term of the sequence we need to find. $\newline$ We are asked to find the second term in the sequence, which means we need to find $c(2)$ .
Substitute the value: Substitute the value of $n$ into the sequence formula. $\newline$ The formula for the sequence is $c(n)=-6(-\frac{1}{3})^{(n-1)}$ . To find the second term, we substitute $n=2$ into the formula. $\newline$ $c(2)=-6(-\frac{1}{3})^{(2-1)}$
Simplify the exponent: Simplify the exponent. $\newline$ Calculate the value of $(-\frac{1}{3})^{(2-1)}$ , which is $(-\frac{1}{3})^{1}$ . $\newline$ $(-\frac{1}{3})^{1} = -\frac{1}{3}$
Multiply the result: Multiply the result by $-6$ . $\newline$ Now we multiply $-\frac{1}{3}$ by $-6$ to get the second term. $\newline$ $c(2) = -6 \times (-\frac{1}{3})$
Perform the multiplication: Perform the multiplication to find the second term. $c(2) = -6 \times (-\frac{1}{3}) = \frac{6}{3}$
Simplify the fraction: Simplify the fraction. $\frac{6}{3}$ simplifies to $2$ . $c(2) = 2$