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?

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

• Identify the formula for the sequence: $a_n = 4n - 2$.
• Substitute $n = 12$ into the formula to find the 12th element.
• Calculate the expression to determine the value of the 12th term.

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.