The 3rd Catalan number is 5. The n-th Catalan number is calculated using the formula: Cₙ = (1 / (n + 1)) * ((2n)! / (n!)²). For n = 3, this gives the value 5, representing the number of ways to divide a regular octagon into 6 triangles. Catalan numbers have many applications in combinatorics, such as counting paths in grids, valid parenthesis expressions, and binary search trees, making them a foundational concept in mathematics.
Understanding the previous and next Catalan Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The 2nd Catalan Number is 2. This is the Catalan Number that comes before the 3rd Catalan Number. The 4th Catalan Number is 14. This is the Catalan Number that comes after the 3rd Catalan 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 Catalan Number is 5. This ensures accurate results for your calculations. These results follow the mathematical rules for nth term of Catalan 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 5 is 3rd Catalan Number. The tool is designed to handle various number properties, helping you solve problems efficiently. For more nth term of Catalan Number Questions and Answers, MathQnA offers additional solutions, ensuring you have all the information needed to complete your calculations.