A=\(\dfrac{1}{2}\)−\(\dfrac{2}{3}\)+\(\dfrac{3}{4}\)−\(\dfrac{4}{5}\)+\(\dfrac{5}{6}\)−\(\dfrac{6}{7}\)−\(\dfrac{5}{6}\)+\(\dfrac{4}{5}\)−\(\dfrac{3}{4}\)+\(\dfrac{2}{3}\)−\(\dfrac{1}{2}\)
A=(\(\dfrac{1}{2}\)−\(\dfrac{1}{2}\))+(−\(\dfrac{2}{3}\)+\(\dfrac{2}{3}\))+(\(\dfrac{3}{4}\)−\(\dfrac{3}{4}\))+(−\(\dfrac{4}{5}\)+\(\dfrac{4}{5}\))+(\(\dfrac{5}{6}\)−\(\dfrac{5}{6}\))−\(\dfrac{6}{7}\)
A=0+0+0+0+0−\(\dfrac{6}{7}\)
A=−\(\dfrac{6}{7}\)
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