|---|---|-------|---------------| | | 2 | 2 2 | 2 2 2 2 | |---|---| | | | 3 | 1 | 2 2 | 2 2 2 2 | |---|---|-------| | | 3 3 | 1 1 | 2 2 2 2 | | | | | | 3 3 | 1 1 | 2 2 2 2 | |-------|-------|---------------| | 3 3 3 3 | 1 1 1 1 | | | | | 3 3 3 3 | 1 1 1 1 | | | | | 3 3 3 3 | 1 1 1 1 | | | | | 3 3 3 3 | 1 1 1 1 | |---------------|---------------|
This is a pictorial proof of the following identity:
(1/4) + (1/4)2 + (1/4)3 + .... = 1/3