# How do you find the next three terms of the arithmetic sequence #-2, -5, -8, -11,...#?

##### 1 Answer

Apr 22, 2017

#### Explanation:

#"the terms of an arithmetic sequence are"#

#a,a+d,a+2d,a+3d,........,a+(n-1)d#

#"where d is the common difference between each term"#

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

#"here " d=-5-(-2)=-3#

#"to obtain the next term in the sequence,"#

#"subtract 3 from the previous term"#

#-14-3=-17" and " -17-3=-20#