The problem asks to find the 23rd term of an arithmetic sequence where the common difference $d = 3$ and the first term $a_1 = 2$.

The formula for the $n$-th term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1) \cdot d$

Substituting the known values:

$a_{23} = 2 + (23 - 1) \cdot 3$ $a_{23} = 2 + 22 \cdot 3$ $a_{23} = 2 + 66 = 68$

So, the 23rd term of the arithmetic sequence is $a_{23} = 68$.

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

1. What is the general formula for the sum of the first $n$ terms of an arithmetic sequence?
2. How do you determine the common difference if only the first and a later term are known?
3. Can you explain the relationship between arithmetic sequences and linear functions?
4. How can we derive the $n$-th term if only two terms of the sequence are provided?
5. What is the geometric interpretation of an arithmetic sequence?

Tip: Always keep track of the position (n) and the common difference when working with arithmetic sequences.