See this part of the documentation:
https://jump.dev/JuMP.jl/stable/manual/variables/#variable_names_and_bindings
julia> using JuMP
julia> model = Model();
julia> @variable(model, x[1:2])
2-element Vector{VariableRef}:
x[1]
x[2]
julia> for i in (length(x)+1):4
push!(x, @variable(model, base_name = "x[$i]"))
end
julia> x
4-element Vector{VariableRef}:
x[1]
x[2]
x[3]
x[4]