# What is the 10th term of the geometric sequence 3, 9, 27,...?

##### 1 Answer

Mar 18, 2018

#### Explanation:

#"the nth term of a geometric sequence is"#

#•color(white)(x)a_n=ar^(n-1)#

#"where a is the first term and r the common ratio"#

#r=a_2/a_1=a_3/a_2=......=a_n/a_(n-1)#

#"here "a=3" and "r=9/3=27/9=3#

#rArra_(10)=3xx3^9=3^10=59049#