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A pentagonal number is a figurate number that represents a pentagon. The \( n \)-th pentagonal number can be calculated using the formula: \[ P(n) = \frac{n(3n - 1)}{2} \] where \( n \) is a positive integer. The sequence of pentagonal numbers begins with 1, 5, 12, 22, 35, and so on.

Ancestors (6)

  1. Figurate numbers
  2. Numbers
  3. Arithmetic
  4. Fields of mathematics
  5. Mathematics
  6. Home

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