Remembering 2013

Algebra Level pending

\(a_n=1- \dfrac{1}{4n^2}\)

If the sum of the reciprocals of the first 2013 terms of this sequence can be expressed as

\(2013+\dfrac{A}{B}\) for coprimes integers \(A\) and \(B\) find the value of \(A+B\)

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