It's Harmonic

Algebra Level 4

\[ \large \frac{\displaystyle \sum_{n=1}^{1729} \left(a_n a_{n+1} \right)}{a_1 a_{1730}} \]

If \(a_1,a_2,\ldots,a_n\) are in a harmonic progression, evaluate the expression above.

This problem is original.
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