Is "12, 15, 18, 21..." an arithmetic sequence?

1 Answer
Apr 2, 2018

Yes.

Explanation:

A sequence is arithmetic if each term shares a common difference with the preceding term, #d,# IE, #a_2-a_1=d, a_3-a_2=d,...,a_n-a_(n-1)=d#

Here, #15-12=3, 18-15=3, 21-18=3,# so the common difference is #3# and this is in fact an arithmetic sequence.