An arithmetic sequence is a sequence where each term after the first is the sum of the previous term plus a constant value. For example, 3,7,11,15, \ldots is an arithmetic sequence.
S is a sequence which has the following properties:
- The first term of S is positive.
- The first three terms of S form an arithmetic sequence.
- If a square is constructed with area equal to a term in S, then the perimeter of that square is the next term in S.
Determine all possible values for the third term of S.