# How do you determine whether each sequence is an arithmetic sequence: 4, 9, 14, 19...?

##### 1 Answer

Oct 24, 2017

#### Answer:

#### Explanation:

#"the standard arithmetic sequence is"#

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

#"where a is the first term and d is the "color(blue)"common difference"#

#•color(white)(x)d=a_2-a_1=a_3-a_2=a_n-a_(n-1)#

#"here "d=9-4=14-9=19-14=5#

#"there is a common difference of 5 between the terms"#

#rArr"the given terms form an arithmetic sequence"#