\(A=\dfrac{1}{1}+\dfrac{1}{3}+\dfrac{1}{6}+...+\dfrac{1}{28}\)
\(=\dfrac{2}{2}+\dfrac{2}{6}+\dfrac{2}{12}+...+\dfrac{2}{56}\)
\(=2\left(\dfrac{1}{2}+\dfrac{1}{6}+...+\dfrac{1}{56}\right)\)
\(=2\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{7}-\dfrac{1}{8}\right)\)
=2*7/8
=7/4