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Australian AMC 2016 - Senior Question 10

AMC AUSTRALIA · Australian AMC 2016 - Senior

Question 10

Which of these expressions is always a multiple of 3, whenever $n$ is a whole number?
  1. $n^3$
  2. $n^3+2n$
  3. $3n^3+1$
  4. $n^3+3n^2$
  5. $n^2+2$