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2018 AMC 8 Question 2

AMC8 · 2018 AMC 8

Question 2

What is the value of the product $$
\begin{align*} &\left(1+\frac{1}{1}\right)\cdot\left(1+\frac{1}{2}\right)\\ &\quad{}\cdot\left(1+\frac{1}{3}\right)\cdot\left(1+\frac{1}{4}\right)\\ &\quad{}\cdot\left(1+\frac{1}{5}\right)\cdot\left(1+\frac{1}{6}\right)? \end{align*}
$$
  1. $ \dfrac{7}{6} $
  2. $ \dfrac{4}{3} $
  3. $ \dfrac{7}{2} $
  4. $ 7 $
  5. $ 8 $