The given sequence is: $32, 28, 24, \dots$ This sequence is an arithmetic sequence because the difference between consecutive terms is constant. The common difference $d$ is: $d = 28 - 32 = -4$ The first term $a_1$ is 32.

The explicit formula for the $n$-th term of an arithmetic sequence is given by: $a_n = a_1 + (n - 1) \cdot d$ Substituting the values of $a_1 = 32$ and $d = -4$, we get: $a_n = 32 + (n - 1) \cdot (-4)$ Simplifying: $a_n = 32 - 4(n - 1)$ $a_n = 32 - 4n + 4$ $a_n = 36 - 4n$

Thus, the explicit formula for the $n$-th term of the sequence is: $a_n = 36 - 4n$

Would you like more details on how arithmetic sequences work or have any other questions?

Here are 5 related questions you might find useful:

1. How do you find the sum of an arithmetic sequence?
2. What is the formula for the sum of the first $n$ terms of an arithmetic sequence?
3. How can you determine if a sequence is arithmetic?
4. Can arithmetic sequences have positive and negative common differences?
5. How does the formula for geometric sequences differ from arithmetic ones?

Tip: In arithmetic sequences, the common difference between terms is always constant!