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Qu’est-ce qu’une suite numérique ?

Une suite numérique est une fonction, notée $u$ ou $(u_n)$, qui à tout entier naturel $n$ associe au plus un réel, notée $u(n)$ ou $u_n$.

Remarque :

• $u(n)$ se lit "l'image de $n$".
• $u_n$ se lit "le terme de rang $n$".

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Here are 5 related questions for deeper understanding:

1. How do we classify sequences based on their properties (e.g., arithmetic or geometric)?
2. What are the common applications of numeric sequences in mathematics?
3. Can a sequence have terms that are not real numbers?
4. What is the difference between a finite and an infinite sequence?
5. How do you find the general term of a numeric sequence?

Tip: Sequences can be defined explicitly (using a formula) or recursively (where each term depends on the previous one).