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IMAS 2025-2026 Junior Division - First Round Question 13

IMAS · IMAS 2025-2026 Junior Division - First Round

Question 13

A sequence consists of six distinct positive integers in strictly increasing order such that each term (excluding the first) is a multiple of the preceding term. If the sum of all six terms is 111, what is the smallest possible value of the largest term of the sequence?
  1. $88$
  2. $80$
  3. $72$
  4. $64$
  5. $56$