The problem gives the first term $a_1 = 36$ and the common difference $d = -7$ for an arithmetic sequence.

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

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

Substituting the given values $a_1 = 36$ and $d = -7$, we get:

$a_n = 36 + (n - 1) \cdot (-7)$

Simplifying:

$a_n = 36 - 7(n - 1)$ $a_n = 36 - 7n + 7$ $a_n = 43 - 7n$

Thus, the general formula for the arithmetic sequence is:

$a_n = 43 - 7n$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you find the sum of the first $n$ terms of this sequence?
2. What is the 10th term of the sequence?
3. How do you identify whether a number is part of this arithmetic sequence?
4. How does the sequence behave as $n$ increases?
5. How would the formula change if the common difference were positive?

Tip: In arithmetic sequences, each term differs from the previous one by a constant value called the common difference.