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#
