## 2019 - 22nd Annual Steven Galovich Memorial Student Symposium

#### Presentation Title

Playing with Triangular Numbers

#### Department or Major

Mathematics

#### Location

Lillard 132

#### Abstract

A "triangular number" is a positive whole number that can be represented as n(n+1)/2, where n is itself a positive whole number (such as, 3 = 2(2+1)/2). In addition to having some interesting applications, mathematician Matthew McMullen has noticed that sometimes there are consecutive sequences of triangular numbers that add up to form yet another triangular number (e.g., 1+3+6 = 10). He showed that if K is any square that is greater than 4, no matter how large, there are K consecutive triangular numbers that add up to form another one.

#### Presentation Type

Individual Presentation

#### Start Date

4-9-2019 10:30 AM

#### End Date

4-9-2019 11:45 AM

#### Panel

Research that Counts: Applied Insights and Theoretical Provocations

#### Panel Moderator

DeJuran Richardson

#### Field of Study for Presentation

Mathematics

Playing with Triangular Numbers

Lillard 132

A "triangular number" is a positive whole number that can be represented as n(n+1)/2, where n is itself a positive whole number (such as, 3 = 2(2+1)/2). In addition to having some interesting applications, mathematician Matthew McMullen has noticed that sometimes there are consecutive sequences of triangular numbers that add up to form yet another triangular number (e.g., 1+3+6 = 10). He showed that if K is any square that is greater than 4, no matter how large, there are K consecutive triangular numbers that add up to form another one.