Of all the ideas we’ve forgotten from math class, the most important to relearn – because it illuminates our most urgent challenges – is the difference between arithmetic and geometric progressions.

Of all the ideas we’ve forgotten from math class, the most important to relearn — because it illuminates our most urgent challenges — is the difference between arithmetic and geometric progressions.

The goal of this short note is the presentation of an elementary proof of the wellknown inequality between the arithmetic and geometric means. Our approach shows that the proof reduces to simple ...