Question

Look at the following sequence. 128, 320, 800, 2000, . . . If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.” 4 not geometric 2.5 1200

Answer 1

Answer:

2.5!!

Step-by-step explanation:

100% correct

Answer 2

Answer:

It is a geometric sequence en the common ratio is: $r=\frac{5}{2}$.

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:

$\frac{320}{128}=\frac{5}{2}$

$\frac{800}{320}=\frac{5}{2}$

$\frac{2000}{800}=\frac{5}{2}$

4. As you can see, the common ratio is $\frac{5}{2}$