The sequence provided is an arithmetic sequence where each term increases by 1 from the previous term.
To express the \( n \)-th term (\( a_n \)) of this sequence, we can observe that the first term is 43. The general formula for an arithmetic sequence can be written as:
\[ a_n = a_1 + (n - 1) \cdot d \]
where:
- \( a_1 \) is the first term,
- \( d \) is the common difference between terms (in this case, \( d = 1 \)),
- \( n \) is the term position.
Substituting in the values we have:
- \( a_1 = 43 \)
- \( d = 1 \)
The expression becomes:
\[ a_n = 43 + (n - 1) \cdot 1 \]
This simplifies to:
\[ a_n = 43 + n - 1 = n + 42 \]
Thus, the expression for the \( n \)-th term of the sequence is:
\[ \boxed{a_n = n + 42} \]