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IMAS 2015 — Upper Primary Grades 5–6 — Round 1 Question 9

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 1

Question 9

The first term of a sequence is 2. Each subsequent term is the remainder when 3 times the preceding term is divided by 5. Thus the second term is 1, the remainder when $3\times2=6$ is divided by 5. How many of the first 2015 terms of this sequence are equal to 1?
  1. 403
  2. 504
  3. 672
  4. 1008
  5. 2014