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MathNet 2023-part-04 — 191 problems (EN–VI) Question 54

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 54

A triangular number is the number of circles you can place in an equilateral triangle of a certain height. For example, in the figure on the right, you can see that the fourth triangular number is $10$. Jasmine writes down the first $1000$ triangular numbers: $1$, $3$, $6$, $10$, $15$, $\ldots$.
How many of these numbers end in a $0$?
Question illustration