# 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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