d(n)=6-4(n-1) Find the 5^("th ") term in the sequence.

Determine General Formula: Determine the general formula for the nth term of the sequence. The given formula is d(n)=6-4(n-1). This is an explicit formula for an arithmetic sequence where 6 is the first term and -4 is the common difference.Substitute n with 5: Substitute n with 5 to find the 5th term. To find the 5th term, we substitute n with 5 in the formula: d(5)=6-4(5-1).Calculate Value Inside Parentheses: Calculate the value inside the parentheses. Calculate 5-1 which equals 4.Multiply Result by -4: Multiply the result by -4. Multiply 4 by -4 to get -16.Add Result to 6: Add the result to 6. Add -16 to 6 to get the 5th term: 6 - 16 = -10.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

$d(n)=6-4(n-1)$ $\newline$ Find the $5^{\text {th }}$ term in the sequence.

View step-by-step help

Full solution

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

\newline

Find the

5^{\text {th }}

term in the sequence.

Determine General Formula: Determine the general formula for the $n$ th term of the sequence. $\newline$ The given formula is $d(n)=6-4(n-1)$ . This is an explicit formula for an arithmetic sequence where $6$ is the first term and $-4$ is the common difference.
Substitute $n$ with $5$ : Substitute $n$ with $5$ to find the $5$ th term. $\newline$ To find the $5$ th term, we substitute $n$ with $5$ in the formula: $d(5) = 6 - 4(5 - 1)$ .
Calculate Value Inside Parentheses: Calculate the value inside the parentheses. $\newline$ Calculate $5-1$ which equals $4$ .
Multiply Result by ext{ $-4$ }: Multiply the result by ext{ $-4$ }. $\newline$ Multiply ext{ $4$ } by ext{ $-4$ } to get ext{ $-16$ }.
Add Result to $6$ : Add the result to $6$ . $\newline$ Add $-16$ to $6$ to get the $5$ th term: $6 - 16 = -10$ .