Given the recursive formula for the geometric sequence a1=5, an=25an−1, find the second term of the sequence.(1 point)

Answer 1

To find the second term of the geometric sequence defined by the recursive formula \( a_1 = 5 \) and \( a_n = 25 a_{n-1} \), we can calculate the terms step by step.

1. The first term is given as: \[ a_1 = 5 \]

2. To find the second term \( a_2 \), we apply the recursive formula: \[ a_2 = 25 a_{1} \] Substituting the value of \( a_1 \): \[ a_2 = 25 \times 5 = 125 \]

Thus, the second term of the sequence is \( a_2 = 125 \).