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SMO 2005 Junior Round 1 Question 9

SMO · SMO 2005 Junior Round 1

Question 9

The last $2$ digits of
$$2005+2005^2+2005^3+\cdots+2005^{2005}$$
are:
  1. $00$
  2. $05$
  3. $25$
  4. $50$
  5. $75$