\(A=\dfrac{2}{5\times7}+\dfrac{2}{7\times9}+...+\dfrac{2}{97\times99}\)
\(=\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{97}-\dfrac{1}{99}\)
\(=\dfrac{1}{5}-\dfrac{1}{99}=\dfrac{94}{495}\)
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