To find the general term of the sequence $a_n$, which is expressed as:

$a_n = 59 + (n-1) \cdot 6,$

you can simplify the expression:

1. Expand the term $(n-1) \cdot 6$: $a_n = 59 + 6n - 6.$

2. Combine like terms: $a_n = 6n + 53.$

Thus, the general term for the sequence is:

$a_n = 6n + 53.$

Would you like details or have further questions?

Here are 5 related questions to deepen understanding:

1. How do you find the $n$-th term for a general arithmetic sequence?
2. Can you identify the common difference in this sequence, and why is it important?
3. What is the sum of the first $n$ terms of this sequence?
4. How does the formula change if $a_1$ or the common difference changes?
5. What is the 10th term of this sequence using the general formula?

Tip: To verify your result, substitute specific values of $n$ (e.g., $n=1, 2, 3$) into the general formula and compare with the sequence's explicit terms!