Find the Sixth Term in the Sequence 3n-3: Linear Expression Problem

The problem asks us to find the sixth term in the sequence defined by $3n - 3$.

To solve this problem, we'll use the following steps:

• Step 1: Identify the sequence formula, which is $a_n = 3n - 3$.
• Step 2: Determine which term we need, which is the sixth term, so $n = 6$.
• Step 3: Substitute $n = 6$ into the formula.
• Step 4: Calculate the result.

Now, let's work through these steps:

Step 1: We have the formula for the sequence as $a_n = 3n - 3$.

Step 2: We need to find the sixth term, so $n = 6$.

Step 3: Substitute $n = 6$ into the formula:

$a_6 = 3(6) - 3$

Step 4: Perform the calculation:

$a_6 = 18 - 3 = 15$

Therefore, the sixth term in the sequence is 15.