Find an equation for the relationship using that include exponents

Answer:
[tex]a_n= 2^{n-1}[/tex]
Step-by-step explanation:
From the given table, the first term is
[tex]a_1=1[/tex]
There is a common ratio of
[tex]r = \frac{2}{1} = 2[/tex]
The formula is given by:
[tex]a_n=a_1r^{n-1}[/tex]
We substitute the values to get:
[tex]a_n=1 \times 2^{n-1}[/tex]
This simplifies to:
[tex]a_n= 2^{n-1}[/tex]