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Australian AMC 2019 - Senior Question 16

AMC AUSTRALIA · Australian AMC 2019 - Senior

Question 16

Two sequences are constructed, each with 900 terms:

$5,8,11,14,\ldots$ (increasing by 3)

$3,7,11,15,\ldots$ (increasing by 4)

How many terms do these two sequences have in common?
  1. 400
  2. 300
  3. 275
  4. 225
  5. 75