An Octagonal number represents an octagon, an eight-sided polygon. It is calculated by adding layers of dots that form an octagonal shape, where each successive layer surrounds the central dot. The formula to calculate the nth octagonal number is: Oₙ = 3n² - 2n. For example, the 4th octagonal number is 40, meaning that the 4 octagonal number forms an octagonal shape with 4 layers of dots, progressively surrounding the center. Octagonal numbers are useful in combinatorics, geometry, and number theory for studying geometric patterns and their applications.
Understanding the previous and next Octagonal Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The 3rd Octagonal Number is 21. This is the Octagonal Number that comes before the 4th Octagonal Number. The 5th Octagonal Number is 65. This is the Octagonal Number that comes after the 4th Octagonal Number. By understanding the previous and next values, we can recognize numerical progressions and sequences, making calculations and analysis easier.
Explore questions like What is 4th Octagonal Number? to calculate the nth term of Octagonal Number for any number. The MathQnA tool allows you to easily input a number and instantly receive the correct answer. The MathQnA tool provides accurate solutions for both simple and complex Abundant Number questions. Whether you're asking Find 4th Octagonal Number?, the tool ensures reliable results every time. For more nth term of Octagonal Number Questions and Answers, the MathQnA tool offers extensive support, helping you navigate through calculations and enhance your understanding of the concept.