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MathNet 1993 — Part 01 Question 39

Math Olympiad Vault · MathNet 1993 — Part 01

Question 39

Written arithmetic triangle

Question illustration

where each number is equal to the sum of the two above it (as is evident, each row consists of one number less than the previous one, and therefore the last row will be made up of a single number), reason that the last number is a multiple of $1993$.