Alternatively, you could just note that your example reduces to 100*(100+1)/2. This simplification decreases cognitive load even more substantially! Taking a st

Alternatively, you could just note that your example reduces to 100*(100+1)/2. This simplification decreases cognitive load even more substantially! Taking a strictly programmatic view of a problem allows you to be lazy, and I believe that you lose a lot in the process. There is importance (numerically, even!) in thinking about things in a more formalized, mathematical way.