# The first term of a geometric sequence is 2 and the common ratio is 4. How do you find the 6th term?

##### 1 Answer

Sep 27, 2016

#### Explanation:

For a geometric sequence the

#color(blue)"nth term formula"# is

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a_n=ar^(n-1))color(white)(a/a)|)))#

where a represents the first term and r, the common ratio.here a = 2 , r = 4 and n = 6

#rArra_6=2xx(4)^5=2048#