# How do you find the common ratio for 1,6,36,216,1296,...?

Dec 17, 2016

Common ratio is $6$

#### Explanation:

Common ratio $r$ is the ratio between a term and its immediately preceding term and this is always constant in a Geometric series .

Here in given series $1 , 6 , 36 , 216 , 1296 , . .$, we have

$r = \frac{6}{1} = \frac{36}{6} = \frac{216}{36} = \frac{1296}{216} = 6$

Hence, Common ratio is $6$