arithmetic progression

The congruum in our first example is 24, and the three squares in arithmetic progression are 12, 52, and 72.

An arithmetic progression is a sequence in which the difference between numbers remains constant.

This technique reduces the time required to solve a problem in a binary fashion by halves, rather than in arithmetic progression one small step at a time.

An arithmetic progression is a sequence of numbers with the same differences between successive numbers: 1, 3, 5, 7 is an arithmetic progression with difference 2, for example.

Early mathematicians recognized that when three squares occurred in arithmetic progression this way, the square root of the middle number — in this case, 5 — is the hypotenuse of the right triangle.