Answer:
It is a geometric sequence en the common ratio is: [tex]r=\frac{5}{2}[/tex].
Step-by-step explanation:
1. By definition, a geometric sequence is a sequence in which you obtain a term by multiplying the previous one by a common ratio.
2. The common ratio is obtained by dividing a term by its preceding term.
3. Keeping this on mind, you have:
[tex]\frac{320}{128}=\frac{5}{2}\\[/tex]
[tex]\frac{800}{320}=\frac{5}{2}[/tex]
[tex]\frac{2000}{800}=\frac{5}{2}[/tex]
4. As you can see, the common ratio is [tex]\frac{5}{2}[/tex]
