Sequence

Algebra Level 3

Consider the following sequences:

(1) 1,3,5,7,9,...1,3,5,7,9,...

(2) the arithmetic sequence 2,5,8,11,14,...2,5,8,11,14, ...

(3) the geometric sequence 3,9,27,81,...3,9,27,81, ...

In how many of the above sequences have we precisely defined the 6th6^\text{th} term?

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