Math Arguments

How far out can you go?

A series of identical blocks.




A series of identical rectangular blocks is stacked out at their
balancing points from the top down. You can show with a simple center of mass calculation the total "stick-out" distance; that is, the horizontal distance from the back of the bottom block to the back of the top block is
\( \dfrac{1}{2}(1 + \dfrac{1}{2} +\dfrac{1}{3} +\dfrac{1}{4} + ... ) \)