Sequence

Algebra Level 3

Consider the following sequences:

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

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

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

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

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