# Is 1, 3, 9, 27, 81 a geometric sequence?

Mar 3, 2018

Yes, it has common ratio $3$

#### Explanation:

Given:

$1 , 3 , 9 , 27 , 81$

Note that:

$\frac{3}{1} = \frac{9}{3} = \frac{27}{9} = \frac{81}{27} = 3$

That is, there is a common ratio between successive terms.

So this is a geometric sequence.