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

Question

Responses

a2=525
a subscript 2 baseline equals 5 Start Fraction 2 over 5 End Fraction

a2=25
a subscript 2 baseline equals Start Fraction 2 over 5 End Fraction

a2=2
a subscript 2 baseline equals 2

a2=85
a subscript 2 baseline equals Start Fraction 8 over 5 End Fraction

Answer 1

The second term of the sequence is given by the formula an = 25an-1. Substituting n=2 into this formula, we get a2 = 25a1. Given that a1 = 5, we can determine a2 = 25(5) = 125.

Therefore, the second term of the sequence is 125.