A = \(\dfrac{1}{1.2}\) + \(\dfrac{1}{2.3}\)+ \(\dfrac{1}{3.2}\)+ ....+ \(\dfrac{1}{50.51}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{2}\)+ \(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{2}\)+...+ \(\dfrac{1}{50}\) - \(\dfrac{1}{51}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{51}\)
A = \(\dfrac{50}{51}\)