#math trivia for #April19:#110 is 10*11, 2 more than 9*12, 6 more than 8*13, 12 more than 7*14, etc.What’s the pattern?

— Burt Kaliski Jr. (@modulomathy) April 19, 2012

Let n be the index of the term, starting at 0. The terms follow the pattern:

110 = (10-n)*(11+n) + n*(n+1)

In other words, for each n, we can say:

110 is n*(n+1) more than (10-n)*(11+n) .

The formula can be checked by expanding it:

(10-n)*(11+n) + n*(n+1) = 110+n-n^2 + n^2+n = 110