It feels more "mathematical" to me to just do 4/4 + 4/4 + 4/4 + ... and keep going for 2011 terms. More "mathematical" because it's trivial to generalise to any natural number, and from there it's trivial to generalise to any integer, rational or surd.
It feels more "mathematical" to me to just do 4/4 + 4/4 + 4/4 + ... and keep going for 2011 terms. More "mathematical" because it's trivial to generalise to any natural number, and from there it's trivial to generalise to any integer, rational or surd.