So short, yet so complete

Algebra Level 4

The number of terms in an arithmetic progression is \(\large2015\). When the ratio of the sum of odd terms to the sum of even terms is expressed as \(\dfrac{M}{N},\) where \(M\) and \(N\) are coprime positive integers, what is the value of \(2N?\)

Note for clarity: Odd terms indicate terms at "ODD" cardinality. Similarly for even terms.

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