Are we any closer?

Algebra Level 3

A fraction is called continuous fraction, If it is of the form:


knowing the above fraction, what can be said about \(Z\), which contains the continued fraction below:


where \(n\) is any positive integer, and the \([\pm]\)sign in the last fraction indicates that \(n\) can be either even or odd. It will be a \(+\) if \(n\) is even and a \(-\) if \(n\) is odd.

This problem is a part of the set All-Zebra


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