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Australian AMC 2012 - Intermediate Question 25

AMC AUSTRALIA · Australian AMC 2012 - Intermediate

Question 25

The number $33^{33}$ can be expressed as the sum of 33 consecutive odd numbers. The largest of these odd numbers is
  1. $33^{32}+32$
  2. $33^{31}+32$
  3. $33^{32}-32$
  4. $33^{31}-32$
  5. $33^{32}$