You're mixing very different things in your question, so I'll just answer a different question

You are now asking about one of the most important interface in Python: iterable - it's basically anything you can use like for elem in iterable.

iterable has three descendants: sequence, generator and mapping.

  • A sequence is a iterable with random access. You can ask for any item of the sequence without having to consume the items before it. With this property you can build slices, which give you more than one element at once. A slice can give you a subsequence: seq[from:until] and every nth item: seq[from:until:nth]. list, tuple and str all are sequences.

  • If the access is done via keys instead of integer positions, you have a mapping. dict is the basic mapping.

  • The most basic iterable is a generator. It supports no random access and therefore no slicing. You have to consume all items in the order they are given. Generator typically only create their items when you iterate over them. The common way to create generators are generator expressions. They look exactly like list comprehension, except with round brackets, for example (f(x) for x in y). Calling a function that uses the yield keyword returns a generator too.

The common adapter to all iterables is the iterator. iterators have the same interface as the most basic type they support, a generator. They are created explicitly by calling iter on a iterable and are used implicitly in all kinds of looping constructs.

Answer from Jochen Ritzel on Stack Overflow
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Stack Overflow
stackoverflow.com › questions › 2920619 › difference-between-list-sequence-and-slice-in-python
Difference between list, sequence and slice in Python? - Stack Overflow
Top answer
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You're mixing very different things in your question, so I'll just answer a different question

You are now asking about one of the most important interface in Python: iterable - it's basically anything you can use like for elem in iterable.

iterable has three descendants: sequence, generator and mapping.

  • A sequence is a iterable with random access. You can ask for any item of the sequence without having to consume the items before it. With this property you can build slices, which give you more than one element at once. A slice can give you a subsequence: seq[from:until] and every nth item: seq[from:until:nth]. list, tuple and str all are sequences.

  • If the access is done via keys instead of integer positions, you have a mapping. dict is the basic mapping.

  • The most basic iterable is a generator. It supports no random access and therefore no slicing. You have to consume all items in the order they are given. Generator typically only create their items when you iterate over them. The common way to create generators are generator expressions. They look exactly like list comprehension, except with round brackets, for example (f(x) for x in y). Calling a function that uses the yield keyword returns a generator too.

The common adapter to all iterables is the iterator. iterators have the same interface as the most basic type they support, a generator. They are created explicitly by calling iter on a iterable and are used implicitly in all kinds of looping constructs.

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  • list are more than plain arrays. You can initialize them without giving the number of items. You can append/push to them, you can remove/pop/del items from them, you can have lists of different types of objects (e.g., [1,'e', [3]]), you can have recursive lists... and you can slice lists, which means getting a new list with only a few of the items.
  • slice are an object type used "behind the scenes" to handle extended slicing in the a[start:stop:step] form, as help(slice) reveals.

"Sequence" is not an object, more like an informal interface some objects like list implement.

slice
Slicing a python list
list - Arithmetic Sequences Slices in Python
slice - List slicing in python every other value
python slicing the list
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In mathematics, we define the notion of a sequence to basically be list (or tuple, or whatever) of elements. Sequences can also be infinite. And they are sometimes understood to actually be equivalent to functions with domain equal to the natural numbers, or something like that.

In computer science we talk about lists instead of sequences, usually. Lists are almost always finite, although with lazy function evaluation, you can make an infinite list data structure in OCaml. I'm not exactly sure how you would "formally" define lists, in a way that is analogous to what they do in mathematics.

But at a high level, they seem like exactly the same thing. Just one is thought of from a mathematics perspective and the other from computer science.

Is there a difference?

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At a high level of abstraction the two may be interchangeable. You have a generation rule, like the Fibonacci sequence, which can generate a sequence of numbers when evaluated, you have the sequence of numbers which is infinite in principle, you have the list of numbers that is finite in so far as you have evaluated it so far, and you have the data structure for storing the evaluated numbers, which may be a linked list (but could just as easily be a vector or most any iterable container). Sure, if you zoom out far enough you could claim that all of these are the same, the latter are just implementation details for the former. But depending on what you're doing, having vocabulary to distinguish between those four layers of the concept could be useful.
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Thing is that many terms in CS have context-dependant definitions. For example, a function can or cannot return a value after it's execution, but in Fortran, a function is defined as code that returns a value, and if not, it is deemed as a subroutine. Meanwhile, functions that are part of a class are called methods.
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