A la quête des nombres triangulaires
Présentation des nombres triangulaires
Vous connaissez les nombres triangulaires ? Et bien pas moi, mais sur internet je vois ceci :
![](data:image/png;base64,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)
et je lis cela :
Le nombre triangulaire de rang n est la somme des nombres entiers de 1 à n.
Source: https://fr.wikipedia.org/.
Analyse
Donc je comprends que si T représente un nombre Triangulaire et si l’indice 2 représente le second nombre triangulaire alors T₂ = 3 car le second nombre triangulaire contient 3 billes.
La logique est donc celle-ci:
- T₁ = 1
- T₂ = 1+2 = 3
- T₃ = 1+2+3 = 6
- ...
Et si je dispose de 15 billes, alors je peux créer les 3 premiers nombres triangulaires:
T₁ = 1
T₂ = 3
T₃ = 6
soit 1+3+6=10 billes et il m’en restera 5 dans mon sac car je n’en aurai pas assez pour construire le nombre triangulaire suivant, à savoir T₄ qui lui a besoin de 10 billes