# How do you identify the 8th term of the geometric sequence -2, -12, -72 ...?

##### 1 Answer

Jun 23, 2018

#### Explanation:

#"the n th 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"#

#"here "a=-2" and "r=(-12)/(-2)=(-72)/(-12)=6#

#a_8=-2xx6^7=-559872#