How is a arithmetic sequence found?

  • You take the difference between the second and first numbers.
  • Then take the difference between the third and second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.
  • Take the difference between the fourth and third second numbers. If that difference is not the same then it is not an arithmetic sequence, otherwise it could be.
  • Keep checking until you think the differences are all the same.


That being the case it is an arithmetic sequence.

If you have a position to value rule that is linear then it is an arithmetic sequence.