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IMSO 2013 — Mathematics — Exploration Question 6

IMSO Maths · IMSO 2013 — Mathematics — Exploration

Question 6

Arrange the positive integers from 1 ~ 10 in the triangular array so that apart from the top row of four numbers, each number in a subsequent row is the absolute difference of the two numbers immediately above it. Below are two solutions which are mirror images of each other. If we require that the number in the top left corner should be less than the number in the top right corner, so that the second solution does not count. Find 3 other solutions.

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