Variadic curried sum function

Question

I need a js sum function to work like this:

sum(1)(2) = 3
sum(1)(2)(3) = 6
sum(1)(2)(3)(4) = 10 
etc.

I heard it can\'t be done. But heard

Answer 1

Another slightly shorter approach:

 const sum = a => b => b? sum(a + b) : a;

Usable as:

console.log(
  sum(1)(2)(),
  sum(3)(4)(5)()
);