Question

Given the recursive formula for the geometric sequence a1=5
𝑎
1
=
5
, an=25an−1
𝑎
𝑛
=
2
5
𝑎
𝑛
−
1
, find the second term of the sequence.(1 point)
Responses

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

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

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

a2=2

Answer 1

Because the recurrence is an = (2/5)·a_{n−1} and a1 = 5, we have a2 = (2/5)·5 = 2. Thus a2 = 2.