To find the 14th term of an arithmetic sequence, you can use the formula for the nth term of an arithmetic sequence, which is given by:
\[ a_n = a_1 + (n - 1) \cdot d \]
where:
- \( a_n \) is the nth term,
- \( a_1 \) is the first term,
- \( d \) is the common difference, and
- \( n \) is the term number.
In this case, we have:
- \( a_1 = -8 \)
- \( d = -2 \)
- \( n = 14 \)
Now, substituting the values into the formula:
\[ a_{14} = -8 + (14 - 1) \cdot (-2) \]
Calculating the expression step by step:
- Calculate \( 14 - 1 \):
\[ 14 - 1 = 13 \]
- Multiply by the common difference:
\[ 13 \cdot (-2) = -26 \]
- Add this result to the first term:
\[ a_{14} = -8 + (-26) = -8 - 26 = -34 \]
Thus, the 14th term of the sequence is
\[ \boxed{-34} \]