Answer:
[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
Step-by-step explanation:
This is a geometric sequence. You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.
The number you multiply by is called the common ratio. In this case, the common ratio is 2.
A formula for the general (nth) term is: [tex]a_n=a_1 r^{n-1}[/tex].
[tex]a_1=1/8\\r=2[/tex]
So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
