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Create your own arithmetic sequence. List at least six terms of your sequence. Explain what makes it arithmetic.

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Let's create an arithmetic sequence where the first term is 3 and the common difference is 5.

Here are the first six terms of the sequence:

  1. 3 (first term)
  2. 8 (3 + 5)
  3. 13 (8 + 5)
  4. 18 (13 + 5)
  5. 23 (18 + 5)
  6. 28 (23 + 5)

The sequence is: 3, 8, 13, 18, 23, 28.

What makes this sequence arithmetic is that the difference between any two consecutive terms is always the same. In this case, the common difference is 5. No matter which two terms you take from the sequence, subtracting the earlier term from the later term will always give you 5.