Answer:
The 3rd term is
[tex]ar^2[/tex]
Step-by-step explanation:
From the given information, the first term of the sequence is
[tex]a_1=a[/tex]
The common ratio of the sequence is
[tex]r[/tex]
The explicit formula for a geometric sequence is :
[tex]a_n=a_1(r^{n-1})[/tex]
To find the third term, we put n=3 to get:
[tex]a_n=a(r^{3-1})[/tex]
This simplifies to:
[tex]a_3=ar^2[/tex]
