To find the second term \( a_2 \) of the geometric sequence defined by the recursive formula \( a_1 = 5 \) and \( a_n = 25 a_{n-1} \), we can calculate it as follows:
- We know that \( a_1 = 5 \).
- Using the recursive formula for \( n = 2 \):
\[ a_2 = 25 \cdot a_1 \]
Substituting \( a_1 \):
\[ a_2 = 25 \cdot 5 = 125 \]
None of the provided response options include \( a_2 = 125 \). It appears that there may be an error in the options listed.
However, according to the recursive definition, the second term \( a_2 \) is indeed \( 125 \).