#### Title

Trapezoidal Numbers

#### Date

5-28-2015 10:10 AM

#### End Time

28-5-2015 10:25 AM

#### Location

Math & Nursing Building (MNB) 104

#### Department

Mathematics

#### Session Chair

Cheryl Beaver

#### Session Title

Mathematics Senior Project Presentations

#### Faculty Sponsor(s)

Cheryl Beaver

#### Presentation Type

Presentation

#### Abstract

Trapezoidal numbers are those which can be written as a sum of consecutive positive integers where the smallest number must be at least two. We will look at the mathematics behind trapezoidal numbers and how to find all such representations. We will give a clever construction which shows how each representation corresponds to an odd divisor of the number.

#### Recommended Citation

Hartman, Chris, "Trapezoidal Numbers" (2015). *Academic Excellence Showcase Schedule*. 246.

http://digitalcommons.wou.edu/aes_event/2015/all/246

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Trapezoidal Numbers

Math & Nursing Building (MNB) 104

Trapezoidal numbers are those which can be written as a sum of consecutive positive integers where the smallest number must be at least two. We will look at the mathematics behind trapezoidal numbers and how to find all such representations. We will give a clever construction which shows how each representation corresponds to an odd divisor of the number.