# Python Math: Get the nth tetrahedral number from a given integer(n) value

## Python Math: Exercise-84 with Solution

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron. The formula for the nth tetrahedral number is represented by the 3rd rising factorial of n divided by the factorial of 3:

Example of tetrahedral numbers:

N | Tetrahedral Number |
---|---|

1 | 1 |

2 | 4 |

3 | 10 |

4 | 20 |

5 | 35 |

6 | 56 |

Write a Python program to get the n^{th} tetrahedral number from a given integer(n) value.

**Sample Solution:**

**Python Code:**

```
def test(n):
return (n * (n + 1) * (n + 2)) / 6
n = 1
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))
n = 2
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))
n = 6
print("\nOriginal Number:",n)
print("Tetrahedral number:",test(n))
```

Sample Output:

Original Number: 1 Tetrahedral number: 1.0 Original Number: 2 Tetrahedral number: 4.0 Original Number: 6 Tetrahedral number: 56.0

**Flowchart:**

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