Since the difference between the distance he swims is the same, hence the distance they swim every week makes an arithmetic sequence.
The sequence formed by the kilometeres swim daily is 1, 1.25, 1.5, 1.75....
- Arithmetic sequences are known for their common difference. In order to determine whether the distance they swim every week make an arithmetic sequence, we need to check whether they have the same common difference;
- difference = 1.75 - 1.7 = 1.5 - 1.25 = 0.25
Since the difference between the distance he swims is the same, hence the distance they swim every week makes an arithmetic sequence.
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