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AMO 2027 Grades 9-11 SET 4 - Self-study Question 11

AMO · AMO 2027 Grades 9-11 SET 4 - Self-study

Question 11

Study the figures below. Let $M$ be the total number of dots in figures 1 through 37, inclusive. Find $\frac{M}{37}-37$.

Continue the illustrated diamond-shaped pattern by adding one complete outer diamond layer at each stage, with the same dot spacing. This specifies the intended continuation of the finite picture.

Question illustration

Enter one positive integer, without units.