1/4 + 1/16 + 1/64 + 1/256 + ... = 1/3
1/3 + 1/9 + 1/27 + 1/81 + ... = 1/2
1/2 + 1/4 + 1/8 + 1/16 + ... = 1
1 + 2 + 3 + ... + n = n * (n+1) / 2
1 + 3 + 5 + ... + (2n − 1) = n2
a2 + b2 = c2
Related posts:
Math visualization: (x + 1)2
Further reading:
Proof without Words: Exercises in Visual Thinking
Q.E.D.: Beauty in Mathematical Proof
Also, my thanks go out to fellow redditor cnk for improvements made to the 1/3 + 1/9 + 1/27 + 1/81 + ... = 1/2 graphic.
