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SMO 2007 Senior Round 1 Question 7

SMO · SMO 2007 Senior Round 1

Question 7

Suppose $a_n$ denotes the last two digits of $7^n$. For example, $a_2=49$, $a_3=43$. Find the value of $a_1+a_2+a_3+\cdots+a_{2007}$.
  1. $50189$
  2. $50199$
  3. $50209$
  4. $50219$
  5. $50229$