Find the 7th Term in Sequence: 2(2n-2) Step-by-Step

Below is the rule for a sequence in terms of $n$ :

$2(2n-2)$

What is the value of the 7th element in the sequence?

Video Solution

Solution Steps

00:00 Find the 7th element

00:04 Location of the desired element according to the data

00:11 Substitute appropriate values according to the data and solve to find the element

00:23 Always solve parentheses first

00:27 Always solve multiplication and division before addition and subtraction

00:38 And this is the solution to the question

Step-by-Step Solution

To determine the 7th element of the sequence defined by the rule $2(2n - 2)$ , we follow these steps:

Step 1: Identify the given formula for the sequence, which is $2(2n - 2)$ .
Step 2: Simplify this formula to its basic form. By expanding, we have: $2 \times (2n - 2) = 4n - 4.$
Step 3: Substitute $n = 7$ into the simplified formula $4n - 4$ .
Step 4: Perform the calculation:
$\begin{aligned} 4n - 4 &= 4 \times 7 - 4 \\ &= 28 - 4 \\ &= 24 \end{aligned}$

Thus, the 7th element of the sequence is $\boldsymbol{24}$ .