ARITHMETIC AND NON-ARITHMETIC SEQUENCE.

So basically, we had already taught you on how to get the common difference of a sequence. Did you know that a sequence with a common difference has a term or there's a specific name for it? We call it as an Arithmetic Sequence.

An Arithmetic Sequence has a set of numbers which has a common difference. Otherwise, we call it a Non-Arithmetic sequence if it's the opposite.

Example : if we had a sequence with the terms of

6 , 9 , 12 , 15 , 18 let us determine if it is an Arithmetic or a Non-Arithmetic Sequence.

18 - 15 = 3

15 - 12 = 3

12 - 9 = 3

9 - 6 = 3

since all of the terms has a common difference, then the sequence 6 , 9 , 12 , 15 , 18 is an Arithmetic Sequence.

Let us now determine if the sequence 15 , 30 , 40 , 60 , 75 is Arithmetic or Non-Arithmetic.

75 - 60 = 15

60 - 40 = 20

40 - 30 = 10

30 - 15 = 15

Since from the very beginning, the common difference already had an error, this sequence is what we call a Non-Arithmetic Sequence. :)