Given the recursive formula for the geometric sequence a1=5

Question

, an=25an−1
, find the second term of the sequence.(1 point)
Responses

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

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

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

a2=2

Answer 1

To find the second term of the geometric sequence using the recursive formula provided:

1. We know that the first term \( a_1 = 5 \).
2. The recursive formula for the sequence is given by \( a_n = 25a_{n-1} \).

Now let's calculate \( a_2 \):

\[ a_2 = 25a_{1} = 25 \times 5 = 125. \]

None of the given responses match \( 125 \). Therefore, it seems there may be an oversight in the provided choices or the calculations.

Make sure to double-check the problem statement and the available options. The accurate second term based on the recursive relationship is \( a_2 = 125 \).