Question

What is the common ratio between successive terms in the sequence?

Answer 1

Answer:

It's 1/3.

Step-by-step explanation:

Common ratio = 9/27 = 1/3.

3 / 9 = 1/3

1 / 3 = 1/3   and so on.

Answer 2

Answer:

r = $\frac{1}{3}$

Step-by-step explanation:

The ratio between successive terms is

$\frac{9}{27}$ = $\frac{1}{3}$

$\frac{3}{9}$ = $\frac{1}{3}$

$\frac{1}{3}$

$\frac{\frac{1}{3} }{1}$ = $\frac{1}{3}$

$\frac{\frac{1}{9} }{\frac{1}{3} }$ = $\frac{1}{3}$

$\frac{\frac{1}{27} }{\frac{1}{9} }$ = $\frac{1}{3}$

Since the common ratio between terms is constant then sequence is geometric