An alternative method to compute Guass’s sum (from 1 to n)

Gauss famously (and possibly fictionally) computed the sum between 1 and 100 at a young age. His original logic relies on symmetry and geometrical thought, especially triangles.

In this write up we provide an alternative derivation of the same result, but using a technique more reminiscent of strategies for solving ordinary differential equations.

A fun quote

posted 2020-10-19