And continuity will be discontinuous in some cases.
For example, space-time is discontinuous and powdery at Planck scale (10-33 cm).
There is no pure state in quantum theory.
If you have to say something, what the human eye sees is discontinuity. Each visual cell is a pixel, but it feels continuous, because there are too many cells, and you can't feel those discontinuities.
Function is a kind of mapping, and set A (domain) is mapped to set B (range) through function F,
Write f: A →B
That is, if x ∈ A is taken, there will be f (x) ∈ b.
For the sequence an, the sequence maps natural number set n to a subset of the real number r.
Ann: N→S, s? rare
Even if n∈N is taken, there is an ∈ r.
This is why sequences are also functions.
Mathematical language is not continuous and discrete.
You can refer to Stephen. Abbott's Understanding Analysis
The exact words are a? Sequence? Is it? Answer? Function? Whose? Domain name? Noun (short for noun)
This book has 38 pages, with a definition of 2.2. 1.