What is meant by "q-generalisation"?

Question

I was reading Prof Gaurav Bhatnagnar, "How to prove Ramanujan q-continued fractions", on the first page he mentions: $$\text{the q-generalisation of } \\ 1+1+1 \cdots + 1 = n \\ \text{is } 1+q+q^2+ \cdots + q^{n-1} = \frac{1-q^n}{1-q} $$ Which turns out to be the geometric series when $q < |1|$. What does a q-generalisation mean, I have noticed in several papers authors make reference to $q-\text{fraction}$, or varying $q-""$ terms, is this exactly the same as above, a geometric sequence of some sort?