Tag Archives: powers

Differences of powers of consecutive integers

Posted on January 29, 2012 by Brent

Patrick Vennebush of Math Jokes 4 Mathy Folks recently wrote about the following procedure that yields surprising results. Choose some positive integer . Now, starting with consecutive integers, raise each integer to the th power. Then take pairwise differences by … Continue reading →

Posted in arithmetic, pattern | Tagged , , , , | 16 Comments