For integers and , the th -gonal number is . Its successive differences form an arithmetic progression. The cases give triangular numbers, square numbers, pentagonal numbers, and hexagonal numbers.
Articles by others on the same topic
A polygonal number is a type of figurate number that represents a polygon with a certain number of sides. Polygonal numbers can be categorized based on the number of sides in the polygon. The most common types of polygonal numbers include: 1. **Triangular Numbers**: These are the sums of the first \( n \) natural numbers and can be represented as dots forming an equilateral triangle.