Google Classroom
GeoGebra
GeoGebra Classroom
Sign in
Search
Google Classroom
GeoGebra
GeoGebra Classroom
GeoGebra
Home
Resources
Profile
Classroom
App Downloads
Sum of the first odd numbers
Author:
Vincent Pantaloni
Topic:
Addition
,
Numbers
,
Sequences and Series
GIF
What is this ?
This is an original visual proof that :
The sum of the 1st n odd numbers is equal to n².
1+3+5+...+(2n-1)=n².
ggb applet
GeoGebra
Bigger GeoGebra applet with spheres
GeoGebra
GIF (HD)
Reboot of an older (bigger) version :
https://www.geogebra.org/m/mt8apr5e
New Resources
Long Division Blank Templates with Feedback
JLA Eri Chan
Long Division with Feedback (v1)
JLA Harry Potter
Long Division Blank Template with Feedback
Discover Resources
creating an angle bisector
Kapička
PV-diagram TS-diagram (robphy)
Types of Angles
Discover Topics
Quadratic Equations
Complex Numbers
Tree Diagrams
Mathematics
Linear Programming or Linear Optimization
