Respuesta :
Answer:
[tex]a_n=16 \cdot (\frac{1}{2})^{n-1}[/tex]
Step-by-step explanation:
This sequence is geometric because while x is going up by 1, the y sequence has a common ratio.
That is, term/previous equals same number per consecutive y terms.
So 1/2=2/4=4/8 is the common ratio.
The first term is when x=1. We can find this y by figuring out what we can multiply to our common ratio, 1/2, to get the next term,8.
Since 8(2)=16, then the first term is 16.
In general,
[tex]y=a_1 \cdot (r)^{x-1}[/tex]
Or if preferred:
[tex]a_n=a_1 \cdot (r)^{n-1}[/tex]
where [tex]a_1[/tex] is first term and [tex]r[/tex] is common ratio.
Plug in information:
[tex]a_n=16 \cdot (\frac{1}{2})^{n-1}[/tex]
Step-by-step explanation:
The answer is option d or an = 16( one half )n − 1
