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AMC8 2027 - Self-practice Set 4 Question 10

AMC8 · AMC8 2027 - Self-practice Set 4

Question 10

Evaluate the following expression.
$$1+\frac1{1+2}+\frac1{1+2+3}+\ldots+\frac1{1+2+\ldots+2019}$$
  1. $\frac{2019}{2020}$
  2. $\frac{2019}{2018}$
  3. $\frac{2019}{4040}$
  4. $\frac{2019}{1009}$
  5. $\frac{2019}{1010}$