Figurate numbers are a category of numbers that can be represented as a regular geometric figure. More specifically, they are numbers that can be arranged in a specific geometric shape, and each type of figurate number corresponds to a different shape. Here are some common types of figurate numbers: 1. **Triangular Numbers**: These can be arranged in the shape of an equilateral triangle.
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A figurate number is an integer illustrated by a regular geometric arrangement of points. Triangular numbers and square numbers are basic examples: growing a prescribed shape turns a counting problem into a sequence of integers.