The Sum of Consecutive Odd Numbers

I Love Math Day Week 2

The Problem

There's a strange thing that happens when you add odd numbers together...
1=1
1+3=4
1+3+5=9
1+3+5+7=16
Can you guess the next one?
Big image

What makes this strange pattern appear?

There is a simple explanation to this pattern. It requires you to think of a square