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To find the first three terms of the arithmetic sequence given the recursive formula, we start with the initial term \( a_1 = -5 \) and follow the recursive relation \( a_n = a_{n-1} + 4 \).
1. **First Term**:
\[
a_1 = -5
\]
2. **Second Term**:
\[
a_2 = a_1 + 4 = -5 + 4 = -1
\]
3. **Third Term**:
\[
a_3 = a_2 + 4 = -1 + 4 = 3
\]
Thus, the first three terms of the sequence are:
- \( a_1 = -5 \)
- \( a_2 = -1 \)
- \( a_3 = 3 \)