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AMC8 2027 - Self-practice Set 7 Question 5

AMC8 · AMC8 2027 - Self-practice Set 7

Question 5

Evaluate the following expression.
$$H=\frac1{2\times4}+\frac1{4\times6}+\frac1{6\times8}+\ldots+\frac1{2018\times2020}.$$
  1. $\frac{1009}{2020}$
  2. $\frac{2020}{1009}$
  3. $\frac{1009}{4040}$
  4. $\frac12$
  5. 1