2015 Special Part-2

Algebra Level 5

Given real numbers \(p\) and \(q\) such that 2015 is a root of

\[ x^{2}(1-pq)-x(p^{2}+q^{2}) -(1+pq)=0,\]

we create 2015 numbers such that \((p, h_{1},h_{2},.........h_{2015}, q) \) is a harmonic progression.

Find the value of \[\large \dfrac{h_{1}-h_{2015}}{pq(p-q)} \]

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