Question

What is the common ratio for the geometric sequence?

Answer 1

ANSWER

The common ratio for the geometric sequence is
$r = \frac{2}{3}$

EXPLANATION

The given geometric sequence is

$54,36,24,16...$
We can determine the common ratio using any two consecutive terms.

The common ratio is found by expressing the subsequent term over the previous term and simplifying the result.



The common ratio is given by,


$r = \frac{36}{54} = \frac{2}{3}$

Or

$r = \frac{24}{36} = \frac{2}{3}$

Or

$r = \frac{16}{24} = \frac{2}{3}$

Answer 2

36/54=2/3
24/36=2/3
16/24=2/3

the common ration is 2/3