I can be as nitpicky as you like, and point out that the sigma also lacks information on the stopping conditions, and it is only by unspoken shared understanding that mathematicians agree on what the infinite summation is doing/what information they're getting out of it, and you can encode that unspoken shared understanding in the for-loop by coding up a stop condition when a convergence is detected.
But, again, not the point of Freya's original point, nor of my posting of it.