Find the 12th Term in Sequence 4n-2: Step-by-Step Solution

The following is the rule to a sequence written in terms of $n$ :

$4n-2$

What is the 12th element of the sequence?

Video Solution

Solution Steps

00:00 Find member 12

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

00:09 Substitute appropriate values according to the data and solve to find the member

00:14 Always solve multiplication and division before addition and subtraction 00:27

00:25 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Understand the sequence formula. The sequence is defined by $4n - 2$ , where $n$ is the term number.

Step 2: Substitute the value of $n = 12$ into the formula.
Calculating, we have:

$a_{12} = 4 \times 12 - 2$

Step 3: Perform the calculation.
$a_{12} = 48 - 2 = 46$

Therefore, the 12th element of the sequence is $46$ .

This matches choice 4, confirming our solution with the provided options.