#### Presentation Title

Consecutive Sums

#### Presentation Type

Oral Presentation

#### School

School of Sciences and Social Sciences

#### Discipline

Mathematics

#### Mentor

Ockle Johnson

#### Date & Time

April 9th at 9 AM - 10 AM

#### Location

David F. Putnam Science Center, Room 181

#### Abstract

When you add two positive integers, the sum is a positive integer. Every positive integer, except number one, is the sum of two positive integers, but which positive integer is the sum of two or more consecutive positive integers? In this talk we will answer that question. We show how looking at examples leads us to a conjecture, and then how we prove our conjecture. In addition, we show different ways how a given positive integer can be written as a sum of consecutive positive integers, and then illustrate a method for finding those sums..

Consecutive Sums

David F. Putnam Science Center, Room 181

When you add two positive integers, the sum is a positive integer. Every positive integer, except number one, is the sum of two positive integers, but which positive integer is the sum of two or more consecutive positive integers? In this talk we will answer that question. We show how looking at examples leads us to a conjecture, and then how we prove our conjecture. In addition, we show different ways how a given positive integer can be written as a sum of consecutive positive integers, and then illustrate a method for finding those sums..