The 3rd Centered Octagonal Number is 49. The formula Cₙ = 4n² + 4n + 1 is used to calculate the total number of dots at each layer of the octagonal structure. The first layer adds 8 dots, the second layer adds 24 dots, and the third layer adds 48 dots, continuing the pattern. These centered octagonal numbers help in geometry and number theory by offering a way to study geometric growth and symmetry.
Understanding the previous and next Centered Octagonal Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The 2nd Centered Octagonal Number is 25. This is the Centered Octagonal Number that comes before the 3rd Centered Octagonal Number. The 4th Centered Octagonal Number is 81. This is the Centered Octagonal Number that comes after the 3rd Centered Octagonal Number. By understanding the previous and next values, we can recognize numerical progressions and sequences, making calculations and analysis easier.
The MathQnA calculator provides precise answers like 3rd Centered Octagonal Number is 49. This ensures accurate results for your calculations. These results follow the mathematical rules for nth term of Centered Octagonal Number, giving you reliable solutions every time. Whether you're solving simple or complex calculations, the MathQnA tool ensures that the results are accurate and verified. For instance, it provides results such as 49 is 3rd Centered Octagonal Number. The tool is designed to handle various number properties, helping you solve problems efficiently. For more nth term of Centered Octagonal Number Questions and Answers, MathQnA offers additional solutions, ensuring you have all the information needed to complete your calculations.