$\textbf{Sequence of real numbers}$
A sequence of real numbers is a function $f:\N\to\R$ from the set of natural numbers $\N$ to the set of real numbers $\R$.
Note: One commonly writes $a_n$ for $f(n)$. One commonly writes $(a_n)$ or $(a_n)_{n\geq1}$ or $(a_n)_{n\in\N}$ or $(a_1,a_2,\dots)$ for $f$.
$\textbf{Sequence of real numbers}$
A sequence of real numbers is a function $f:\N\to\R$ from the set of natural numbers $\N$ to the set of real numbers $\R$.
Note: One commonly writes $a_n$ for $f(n)$. One commonly writes $(a_n)$ or $(a_n)_{n\geq1}$ or $(a_n)_{n\in\N}$ or $(a_1,a_2,\dots)$ for $f$.
copied
𝐒𝐞𝐪𝐮𝐞𝐧𝐜𝐞 𝐨𝐟 𝐫𝐞𝐚𝐥 𝐧𝐮𝐦𝐛𝐞𝐫𝐬
A sequence of real numbers is a function 𝑓:ℕ→ℝ from the set of natural numbers ℕ to the set of real numbers ℝ.
Note: One commonly writes 𝑎ₙ for 𝑓(𝑛). One commonly writes (𝑎ₙ) or (𝑎ₙ)ₙ≥₁ or (𝑎ₙ)ₙ∈ℕ or (𝑎₁,𝑎₂,… ) for 𝑓.