Respuesta :

Answer:

Yes

Step-by-step explanation:

Let's remember the definition of countable:

A countable set is a set with the same number of elements as some subset of the set of natural numbers. Whether finite or infinite, the elements of a countable set can always be counted one at a time and, although the counting may never finish, every element of the set is associated with a unique natural number.  

Let's take a look to our set W = {1,4,9,25, 36, …}.

We can rewrite it as {[tex]1^2, 2^2, 3^2, 5^2, 6^2, ...[/tex]}

We can associate each element of the set with a unique natural number (the number 4 it's not in the list but that's not a problem, it fulfills the definition anyway). In other words, there is a bijection between W and the natural numbers.

Therefore, W is countable.

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