To find the pattern in the sequence \( 203, 199, 195, \ldots \), we first calculate the differences between the consecutive terms:
\[ 199 - 203 = -4 \] \[ 195 - 199 = -4 \]
The sequence shows a consistent decrease by 4. Therefore, we can describe the \( n \)-th term of the sequence with the following formula:
\[ a_n = a_1 + (n - 1) \cdot d \]
where:
- \( a_1 = 203 \) (the first term),
- \( d = -4 \) (the common difference).
We want to find the 35th term, \( a_{35} \):
\[ a_{35} = a_1 + (35 - 1) \cdot (-4) \]
Now, substituting the known values:
\[ a_{35} = 203 + (34) \cdot (-4) \] \[ a_{35} = 203 - 136 \] \[ a_{35} = 67 \]
Thus, the 35th term is:
\[ \boxed{67} \]