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 nth 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
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Python: Tips of the Day
Lambdas for Sorting:
>>> students = [{'name': 'John', 'score': 98}, {'name': 'Mike', 'score': 94}, {'name': 'Jennifer', 'score': 99}]
>>> sorted(students, key=lambda x: x['score'])
[{'name': 'Mike', 'score': 94}, {'name': 'John', 'score': 98}, {'name': 'Jennifer', 'score': 99}]
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