What is \(\dfrac1{1\cdot 2}+\dfrac1{2\cdot 3}+\dfrac1{3\cdot 4}+\dfrac1{4\cdot 5}+\dfrac1{5\cdot 6}+\dfrac1{6\cdot 7}+\)

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What is \(\dfrac1{1\cdot 2}+\dfrac1{2\cdot 3}+\dfrac1{3\cdot 4}+\dfrac1{4\cdot 5}+\dfrac1{5\cdot 6}+\dfrac1{6\cdot 7}+\dfrac1{7\cdot 8}+\dfrac1{8\cdot9}+\dfrac1{9\cdot 10}?\)

A. \(\dfrac25\)

B. \(\dfrac35\)

C. \(\dfrac7{10}\)

D. \(\dfrac{46}{55}\)

E. \(\dfrac9{10}\)

Answer: E

Source: Veritas Prep

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