Can Consecutive integers even or odd only?

Greg, said that whole numbers that follow each other in a sequence without gaps are Consecutive integers. For example, -4, -3, -2, −1, 0, 1, 2, 3, 4 …

But is it possible that Consecutive integers can be even or odd only?

For example,

consecutive odd integers: 1, 3, 5, 7, 9, 11, 13
consecutive even integers: 2, 4, 6, 8, 10, 12

[Note: I found this concept before in magoosh video about 1 year ago]

In that case, they’ll make it explicit (i.e, say “consecutive even integers” not just “consecutive integers”).

Hmmm, so in the GRE it is obvious what are Consecutive integers and what are consecutive even or odd integers it will be clearly mentioned, Right?

Yes