Question

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

Answer 1

To find the second term of the geometric sequence using the recursive formula provided, we start with the first term \( a_1 = 5 \) and use the formula \( a_n = 25 a_{n-1} \).

We want to find \( a_2 \):

1. Given that \( a_1 = 5 \):
2. According to the recursive formula, \( a_2 = 25 a_1 \).

Now we substitute \( a_1 \) into the formula:

\[
a_2 = 25 \cdot 5 = 125.
\]

However, none of the provided options match this calculation. Since it seems that the answer \( 125 \) isn't listed as a choice in your options, it is important to verify the options you provided regarding their correctness based on the calculations.

Answer: \( a_2 = 125 \) (but not listed in the provided options).