Question

Give an example of a sequence x such that the range of x has exactly 3 elements.

Answer 1

a sequence is only a function so for instance you could have
\[ \large x_j=j\mod 3 \]
i mean x_j is equal to the residue of dividing j into 3.
this way the range of x is 0, 1 and 2

Answer 2

Well, it's a function with the domain being the natural numbers.
Mod 3 is a nice example, of course.

Answer 3

I dont know anything about mod, can you explain a little?

Answer 4

nm got it ty