We are given sequance 512,256,128,64.
We can clealry see that each current term is being divided by 2 to get next term.
In order ways we could say that if we divide next term from previous term, we get 1/2.
We can see, all ratios are same.
So, this is a geomatric sequance.
We know the formula for geomatric sequence
[tex]a_n = ar^{n-1}[/tex]
Where a is the first term of the sequance, r is the common ratio and n is the number of terms.
We got first term a=512, and coomon ratio r= 1/2.
Plugging those values of a and r in formula, we get
[tex]a_n =512(\frac{1}{2})^{n-1[/tex]
