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IMAS 2017–2018 Junior Round 2 Question 1

IMAS · IMAS 2017–2018 Junior Round 2

Question 1

Among all the expressions listed below, how many are negative numbers? $(1000-1)^1$, $(1000-2)^2$, $\ldots$, $(1000-n)^n$, $\ldots$, $(1000-2018)^{2018}$.
  1. 509
  2. 510
  3. 1009
  4. 1018
  5. 1019