# How do you write an nth term rule for #r=1/3# and #a_1=45#?

##### 1 Answer

Sep 14, 2016

#### Explanation:

The rule for finding the nth term in a geometric sequence is.

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

where a represents the 1st term.here a = 45 and r

#=1/3#

#rArra_n=45xx(1/3)^(n-1)=45(1/3)^(n-1)#