The terms of a geometric sequence are defined by the equation an=512(0.5)^x. A second sequence contains the terms b3=7168 and b7=28.

a. Determine which sequence has the greater ratio:
The common ration of the 2nd sequence is _____. [Options: 0.25, 64, 256, 0.16, or 0.0039]
The first sequence has a common ratio of _____. [Options: 0.5, 512, 256, 0.25, 0.001]
The ____ (first or second) sequence has the greater common ratio.

b. What is the initial term of each sequence? Explain your reasoning.
The initial term of the first sequence is a0= _____.
In the second sequence, we know that bn=b0(_____)^n.
Using b3 and solving for b0, we find that b0=_____.