The 3rd pentagonal number is 12. Pentagonal numbers are figurate numbers that represent a pentagon. They are calculated using the formula Pₙ = (3n² - n) / 2. In the case of 3, we find that the pentagonal number is 12, the sum of the first 3 terms in the pentagonal sequence. This number forms a pentagonal shape with 3 layers of dots. Pentagonal numbers are significant in number theory, geometry, and combinatorics, helping to analyze geometric patterns and the growth of shapes.
Understanding the previous and next Pentagonal Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The 2nd Pentagonal Number is 5. This is the Pentagonal Number that comes before the 3rd Pentagonal Number. The 4th Pentagonal Number is 22. This is the Pentagonal Number that comes after the 3rd Pentagonal Number. By understanding the previous and next values, we can recognize numerical progressions and sequences, making calculations and analysis easier.
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