To find the second term in the sequence defined by the rules you provided, we start with the first term \( a(1) \) and use the recurrence relation to find subsequent terms.
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The first term is given as: \[ a(1) = -13 \]
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The recurrence relation states: \[ a(n) = a(n - 1) + 4 \]
To find the second term \( a(2) \), we substitute \( n = 2 \) into the recurrence relation: \[ a(2) = a(1) + 4 \]
Substituting the value of \( a(1) \): \[ a(2) = -13 + 4 = -9 \]
Thus, the second term in the sequence is: \[ \boxed{-9} \]