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=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 \( a_2 \) of the geometric sequence defined by the recursive formula, we start with the first term provided:

• \( a_1 = 5 \)

Now, according to the recursive formula:

\[ a_n = 25 a_{n-1} \]

We can find the second term \( a_2 \):

\[ a_2 = 25 a_1 \]

Substituting the value of \( a_1 \):

\[ a_2 = 25 \times 5 = 125 \]

So, the second term is:

\[ a_2 = 125 \]

However, this value is not among the provided options. Please check the options again, or if you need further assistance.